C ALGORITHM 762, COLLECTED ALGORITHMS FROM ACM. C THIS WORK PUBLISHED IN TRANSACTIONS ON MATHEMATICAL SOFTWARE, C VOL. 22, NO. 3, September, 1996, P. 372--382. C #! /bin/sh # This is a shell archive, meaning: # 1. Remove everything above the #! /bin/sh line. # 2. Save the resulting text in a file. # 3. Execute the file with /bin/sh (not csh) to create the files: # Doc # Drivers # Src # This archive created: Wed Sep 25 11:42:48 1996 export PATH; PATH=/bin:$PATH if test ! -d 'Doc' then mkdir 'Doc' fi cd 'Doc' if test -f 'readme' then echo shar: will not over-write existing file "'readme'" else cat << \SHAR_EOF > 'readme' Readme File For Disk Accompanying LLDRLF Paper This disk is in DOS format (1.44MB) and contains 5 files. CONTENTS readme.dsk: this file. src.f contains the complete source code for LLDRLF including the double precision version of BRATIO. driver1.f contains the source code for a test program that makes the calculations of LLDFLF on a set of A, B, and W values. RES1 contains the output from driver1.f run on an IBM RS6000/550. The output was obtained using all defaults, i.e., the user specifies neither W nor A nor B. driver2.f contains the main program, tstlld, that runs all test cases described in the paper. This program replaces program, tstsht, in driver1.f. The results of the full test run consumes about 7 MB of disk. PORTABILITY The only machine dependent code in src.f is in BRATIO which was previously published by TOMS. The test programs also use widely distributed machine specific routines listed below. src.f and driver1.f have been run on both an IBM RS6000 and a Solbourne machine. The code has been examined for portability by FTNCHEK V. 2.7. INSTALLATION (1) Machine dependent constants. Routines: INTEGER FUNCTION ipmpar in LLDRLF.F INTEGER FUNCTION i1mach in TSTLLD.F DOUBLE PRECISION FUNCTION d1mach in TSTLLD.F REAL FUNCTION r1mach in TSTLLD.F all return machine dependent constants. Appropriate values for various machines appear in these routines as comments. The values in the distributed version are IEEE which is appropriate for MSDOS machines, Apple Macintosh, and most UNIX workstations. For any other machine uncomment the appropriate values. Routine spmpar in LLDRLF has been modified to return double precision machine dependent constants. The user need take no action even though the comments specify single precision. (2) Compile and link the code in src.f and driver1.f into an executable object. ---------------------------------------------------------------------- DOCUMENTATION FOR TEST PROGRAM FOR LLDRLF This is an annotated run of the test program. tstlld Do you want to output to a file? (y/n) $? n <<<<<<<<<<<<<<<<<<<< BEGIN ANNOTATION >>>>>>>>>>>>>>>>>>>> If 'y' is selected, program will prompt for a file name and write all results to the selected file. <<<<<<<<<<<<<<<<<<<< END ANNOTATION >>>>>>>>>>>>>>>>>>>> Do you want to specify A and B? (y/n) $? n <<<<<<<<<<<<<<<<<<<< BEGIN ANNOTATION >>>>>>>>>>>>>>>>>>>> If not, A and B will take on all combinations of the following powers of 10: -3 1 5 10 <<<<<<<<<<<<<<<<<<<< END ANNOTATION >>>>>>>>>>>>>>>>>>>> Do you want to specify W? (y/n) $? y <<<<<<<<<<<<<<<<<<<< BEGIN ANNOTATION >>>>>>>>>>>>>>>>>>>> W is the argument of the log-F distribution and is specified in units of the standard deviation of that distribution. If a particular value is not specified, W will range over the values: -1000 -500 -100 -50 -10 -5 -1 0 and back from 1 to 1000 using the same absolute values. If none of A, B, or W is specified all combinations are taken as per the sample output. <<<<<<<<<<<<<<<<<<<< END ANNOTATION >>>>>>>>>>>>>>>>>>>> Enter W (in standard deviations). $? 1 <<<<<<<<<<<<<<<<<<<< BEGIN ANNOTATION >>>>>>>>>>>>>>>>>>>> W has been specified but not A and B which range over the values given above. As each answer is printed to the screen, the display pauses pending a CR. (When answers are written to a file, there is no pause.) <<<<<<<<<<<<<<<<<<<< END ANNOTATION >>>>>>>>>>>>>>>>>>>> ++++++++++++++++++++++++++++++++++++++++++++++++++ ------------------ Values Used ------------------- A: 1.0000E-03 B: 1.0000E-03 Standard Deviation: 1414.2147 ************************************************** W (in standard deviations) 1.0000 log(f(exp(W)|DFN,DFD)) -5.2146643110562865E+00 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.2960587976738849E-01 First Derivative 1.3837963645320079E-04 Second Derivative -1.5752856023812081E-07 log(1 - F(exp(W)|DFN,DFD)) -2.1073602618451908E+00 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 Press Return / Enter to continue: $? ++++++++++++++++++++++++++++++++++++++++++++++++++ ------------------ Values Used ------------------- A: 1.0000E-03 B: 1.0000E+01 Standard Deviation: 1000.0009 ************************************************** W (in standard deviations) 1.0000 log(f(exp(W)|DFN,DFD)) -9.9113563342173002E+03 First Derivative -1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -9.9171128469472860E+03 First Derivative -1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 <<<<<<<<<<<<<<<<<<<< BEGIN ANNOTATION >>>>>>>>>>>>>>>>>>>> Numerous lines of output deleted. <<<<<<<<<<<<<<<<<<<< END ANNOTATION >>>>>>>>>>>>>>>>>>>> ++++++++++++++++++++++++++++++++++++++++++++++++++ ------------------ Values Used ------------------- A: 1.0000E+10 B: 1.0000E+10 Standard Deviation: 1.4142E-05 ************************************************** W (in standard deviations) 1.0000 log(f(exp(W)|DFN,DFD)) -1.4189385332380060E+00 First Derivative -7.0710678119243981E+04 Second Derivative -4.9999999997500000E+09 log(F(exp(W)|DFN,DFD)) -1.7275377902009820E-01 First Derivative 2.0336388971268665E+04 Second Derivative -1.8515685710458596E+09 log(1 - F(exp(W)|DFN,DFD)) -1.8410216450030916E+00 First Derivative -1.0784334959763364E+05 Second Derivative -4.0045116717191434E+09 Press Return / Enter to continue: $? Do you want to continue? (y/n) $? y <<<<<<<<<<<<<<<<<<<< BEGIN ANNOTATION >>>>>>>>>>>>>>>>>>>> A 'y' starts over and a 'n' exits the program. Here is an example in which A and B are specified but not W. <<<<<<<<<<<<<<<<<<<< END ANNOTATION >>>>>>>>>>>>>>>>>>>> Do you want to specify A and B? (y/n) $? y Enter A. $? 10 Enter B. $? 10 Do you want to specify W? (y/n) $? n ++++++++++++++++++++++++++++++++++++++++++++++++++ ------------------ Values Used ------------------- A: 1.0000E+01 B: 1.0000E+01 Standard Deviation: .4586 ************************************************** W (in standard deviations) -1000.0000 log(f(exp(W)|DFN,DFD)) -4.5732724904619372E+03 First Derivative 1.0000000000000000E+01 Second Derivative -1.3326648884764100-198 log(F(exp(W)|DFN,DFD)) -4.5747703565987140E+03 First Derivative 1.0000000000000000E+01 Second Derivative -1.2115135349785545-198 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 Press Return / Enter to continue: $? <<<<<<<<<<<<<<<<<<<< BEGIN ANNOTATION >>>>>>>>>>>>>>>>>>>> Numerous lines of output deleted. <<<<<<<<<<<<<<<<<<<< END ANNOTATION >>>>>>>>>>>>>>>>>>>> ************************************************** W (in standard deviations) 1000.0000 log(f(exp(W)|DFN,DFD)) -4.5732724904619372E+03 First Derivative -1.0000000000000000E+01 Second Derivative -1.3326648884764100-198 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.5747703565987140E+03 First Derivative -1.0000000000000000E+01 Second Derivative -1.2115135349785545-198 Press Return / Enter to continue: $? Do you want to continue? (y/n) $? n SHAR_EOF fi # end of overwriting check cd .. if test ! -d 'Drivers' then mkdir 'Drivers' fi cd 'Drivers' if test ! -d 'Dp' then mkdir 'Dp' fi cd 'Dp' if test -f 'RES1' then echo shar: will not over-write existing file "'RES1'" else cat << \SHAR_EOF > 'RES1' ++++++++++++++++++++++++++++++++++++++++++++++++++ ------------------ Values Used ------------------- A: 1.0000E-03 B: 1.0000E-03 Standard Deviation: 1414.2147 ************************************************** W (in standard deviations) -1000.0000 log(f(exp(W)|DFN,DFD)) -1.4180151734062165E+03 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.4149078693570054E+03 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -500.0000 log(f(exp(W)|DFN,DFD)) -7.1090781149672682E+02 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -7.0780050744751588E+02 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.0378048673939815-308 First Derivative -4.0378048673946317-311 Second Derivative -4.0378048675137015-314 ************************************************** W (in standard deviations) -100.0000 log(f(exp(W)|DFN,DFD)) -1.4522192196913522E+02 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.4211461791992417E+02 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -1.9072412871649328E-62 First Derivative -1.9072412871650163E-65 Second Derivative -1.9072412871650164E-68 ************************************************** W (in standard deviations) -50.0000 log(f(exp(W)|DFN,DFD)) -7.4511185778186288E+01 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -7.1403881728975179E+01 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -9.7653582112375835E-32 First Derivative -9.7653582112374535E-35 Second Derivative -9.7653582112374541E-38 ************************************************** W (in standard deviations) -10.0000 log(f(exp(W)|DFN,DFD)) -1.7942596825427099E+01 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.4835292776216004E+01 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -3.6067354476419122E-07 First Derivative -3.6067360980690292E-10 Second Derivative -3.6067373989235578E-13 ************************************************** W (in standard deviations) -5.0000 log(f(exp(W)|DFN,DFD)) -1.0871523206332204E+01 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -7.7642191571211079E+00 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.2475127782525977E-04 First Derivative -4.2484149742244388E-07 Second Derivative -4.2502198772037607E-10 ************************************************** W (in standard deviations) -1.0000 log(f(exp(W)|DFN,DFD)) -5.2146643110562865E+00 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -2.1073602618451908E+00 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -1.2960587976738849E-01 First Derivative -1.3837963645320079E-04 Second Derivative -1.5752856023812081E-07 ************************************************** W (in standard deviations) .0000 log(f(exp(W)|DFN,DFD)) -3.8018358815984272E+00 First Derivative 0.0000000000000000E+00 Second Derivative -5.0000000000000001E-04 log(F(exp(W)|DFN,DFD)) -6.9314718055994617E-01 First Derivative 9.9861630636065312E-04 Second Derivative -9.9723452732939391E-07 log(1 - F(exp(W)|DFN,DFD)) -6.9314718055994617E-01 First Derivative -9.9861630636065312E-04 Second Derivative -9.9723452732939391E-07 ************************************************** W (in standard deviations) 1.0000 log(f(exp(W)|DFN,DFD)) -5.2146643110562865E+00 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.2960587976738849E-01 First Derivative 1.3837963645320079E-04 Second Derivative -1.5752856023812081E-07 log(1 - F(exp(W)|DFN,DFD)) -2.1073602618451908E+00 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 5.0000 log(f(exp(W)|DFN,DFD)) -1.0871523206332204E+01 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -4.2475127782525977E-04 First Derivative 4.2484149742244388E-07 Second Derivative -4.2502198772037607E-10 log(1 - F(exp(W)|DFN,DFD)) -7.7642191571211079E+00 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 10.0000 log(f(exp(W)|DFN,DFD)) -1.7942596825427099E+01 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -3.6067354476419122E-07 First Derivative 3.6067360980690292E-10 Second Derivative -3.6067373989235578E-13 log(1 - F(exp(W)|DFN,DFD)) -1.4835292776216004E+01 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 50.0000 log(f(exp(W)|DFN,DFD)) -7.4511185778186288E+01 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -9.7653582112375835E-32 First Derivative 9.7653582112374535E-35 Second Derivative -9.7653582112374541E-38 log(1 - F(exp(W)|DFN,DFD)) -7.1403881728975179E+01 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 100.0000 log(f(exp(W)|DFN,DFD)) -1.4522192196913525E+02 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.9072412871649328E-62 First Derivative 1.9072412871650163E-65 Second Derivative -1.9072412871650164E-68 log(1 - F(exp(W)|DFN,DFD)) -1.4211461791992417E+02 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 500.0000 log(f(exp(W)|DFN,DFD)) -7.1090781149672694E+02 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -4.0378048673939815-308 First Derivative 4.0378048673946317-311 Second Derivative -4.0378048675137015-314 log(1 - F(exp(W)|DFN,DFD)) -7.0780050744751588E+02 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 1000.0000 log(f(exp(W)|DFN,DFD)) -1.4180151734062165E+03 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -1.4149078693570054E+03 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ++++++++++++++++++++++++++++++++++++++++++++++++++ ------------------ Values Used ------------------- A: 1.0000E-03 B: 1.0000E+01 Standard Deviation: 1000.0009 ************************************************** W (in standard deviations) -1000.0000 log(f(exp(W)|DFN,DFD)) -1.0034610836329783E+03 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.0000072559909873E+03 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -500.0000 log(f(exp(W)|DFN,DFD)) -5.0346064670828622E+02 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -5.0000681906629529E+02 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -7.0761587172322012-218 First Derivative -7.0761587172320258-221 Second Derivative -7.0761587172320259-224 ************************************************** W (in standard deviations) -100.0000 log(f(exp(W)|DFN,DFD)) -1.0346029716853261E+02 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.0000646952654169E+02 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -3.6960865296096725E-44 First Derivative -3.6960865296096341E-47 Second Derivative -3.6960865296096340E-50 ************************************************** W (in standard deviations) -50.0000 log(f(exp(W)|DFN,DFD)) -5.3460253476063400E+01 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -5.0006425834072495E+01 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -1.9163957566537132E-22 First Derivative -1.9163957566537068E-25 Second Derivative -1.9163957566537069E-28 ************************************************** W (in standard deviations) -10.0000 log(f(exp(W)|DFN,DFD)) -1.3460218522088041E+01 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.0006390880097140E+01 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.5111726944248065E-05 First Derivative -4.5112744493503093E-08 Second Derivative -4.5114779653218836E-11 ************************************************** W (in standard deviations) -5.0000 log(f(exp(W)|DFN,DFD)) -8.4602141528411217E+00 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -5.0063865108502199E+00 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -6.7175645464968865E-03 First Derivative -6.7401779906134537E-06 Second Derivative -6.7856079899586034E-09 ************************************************** W (in standard deviations) -1.0000 log(f(exp(W)|DFN,DFD)) -4.4602106574435858E+00 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.0063830154526840E+00 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.5497904858362348E-01 First Derivative -5.7614036031509910E-04 Second Derivative -9.0807807509911135E-07 ************************************************** W (in standard deviations) .0000 log(f(exp(W)|DFN,DFD)) -3.4612098335925352E+00 First Derivative 0.0000000000000000E+00 Second Derivative -9.9990000999900029E-04 log(F(exp(W)|DFN,DFD)) -6.3831404298559874E-03 First Derivative 9.9900144771369339E-04 Second Derivative -9.9800389253405634E-07 log(1 - F(exp(W)|DFN,DFD)) -5.0572849448748887E+00 First Derivative -1.5600729255014759E-01 Second Derivative -2.4338275328827333E-02 ************************************************** W (in standard deviations) 1.0000 log(f(exp(W)|DFN,DFD)) -9.9113563342173002E+03 First Derivative -1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -9.9171128469472860E+03 First Derivative -1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 5.0000 log(f(exp(W)|DFN,DFD)) -4.9911391288192652E+04 First Derivative -1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.9917147800922641E+04 First Derivative -1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 10.0000 log(f(exp(W)|DFN,DFD)) -9.9911434980661856E+04 First Derivative -1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -9.9917191493391845E+04 First Derivative -1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 50.0000 log(f(exp(W)|DFN,DFD)) -4.9991178452041541E+05 First Derivative -1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.9991754103314539E+05 First Derivative -1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 100.0000 log(f(exp(W)|DFN,DFD)) -9.9991222144510737E+05 First Derivative -1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -9.9991797795783740E+05 First Derivative -1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 500.0000 log(f(exp(W)|DFN,DFD)) -4.9999157168426430E+06 First Derivative -1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.9999214733553734E+06 First Derivative -1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 1000.0000 log(f(exp(W)|DFN,DFD)) -9.9999200860895626E+06 First Derivative -1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -9.9999258426022939E+06 First Derivative -1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 ++++++++++++++++++++++++++++++++++++++++++++++++++ ------------------ Values Used ------------------- A: 1.0000E-03 B: 1.0000E+05 Standard Deviation: 1000.0008 ************************************************** W (in standard deviations) -1000.0000 log(f(exp(W)|DFN,DFD)) -1.0034610302724275E+03 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.0000071526379365E+03 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -500.0000 log(f(exp(W)|DFN,DFD)) -5.0346061963679711E+02 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -5.0000674200230605E+02 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -7.0767040552641240-218 First Derivative -7.0767040552642536-221 Second Derivative -7.0767040552642541-224 ************************************************** W (in standard deviations) -100.0000 log(f(exp(W)|DFN,DFD)) -1.0346029112829287E+02 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.0000641349380179E+02 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -3.6962936372672060E-44 First Derivative -3.6962936372671684E-47 Second Derivative -3.6962936372671683E-50 ************************************************** W (in standard deviations) -50.0000 log(f(exp(W)|DFN,DFD)) -5.3460250064729813E+01 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -5.0006372430238748E+01 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -1.9164981022668934E-22 First Derivative -1.9164981022669011E-25 Second Derivative -1.9164981022669011E-28 ************************************************** W (in standard deviations) -10.0000 log(f(exp(W)|DFN,DFD)) -1.3460217213879384E+01 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.0006339579388316E+01 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.5114041319384290E-05 First Derivative -4.5115058973049800E-08 Second Derivative -4.5117094341595948E-11 ************************************************** W (in standard deviations) -5.0000 log(f(exp(W)|DFN,DFD)) -8.4602131075230798E+00 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -5.0063354730320118E+00 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -6.7179085593137913E-03 First Derivative -6.7405243221975442E-06 Second Derivative -6.7859589903356805E-09 ************************************************** W (in standard deviations) -1.0000 log(f(exp(W)|DFN,DFD)) -4.4602098224380367E+00 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.0063321879469682E+00 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.5500833353410364E-01 First Derivative -5.7618651818336310E-04 Second Derivative -9.0817742191963022E-07 ************************************************** W (in standard deviations) .0000 log(f(exp(W)|DFN,DFD)) -3.4612090011717758E+00 First Derivative 0.0000000000000000E+00 Second Derivative -9.9999999000000028E-04 log(F(exp(W)|DFN,DFD)) -6.3323654273927804E-03 First Derivative 9.9900149758231152E-04 Second Derivative -9.9800399217169855E-07 log(1 - F(exp(W)|DFN,DFD)) -5.0652459393456111E+00 First Derivative -1.5726221519592892E-01 Second Derivative -2.4731404328330656E-02 ************************************************** W (in standard deviations) 1.0000 log(f(exp(W)|DFN,DFD)) -9.8158017494519144E+07 First Derivative -1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -9.8158032461322263E+07 First Derivative -1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 5.0000 log(f(exp(W)|DFN,DFD)) -4.9815834600302345E+08 First Derivative -1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.9815836096982658E+08 First Derivative -1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 10.0000 log(f(exp(W)|DFN,DFD)) -9.9815875663865364E+08 First Derivative -1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -9.9815877160545695E+08 First Derivative -1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 50.0000 log(f(exp(W)|DFN,DFD)) -4.9981620417236967E+09 First Derivative -1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.9981620566905003E+09 First Derivative -1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 100.0000 log(f(exp(W)|DFN,DFD)) -9.9981661480800018E+09 First Derivative -1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -9.9981661630468044E+09 First Derivative -1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 500.0000 log(f(exp(W)|DFN,DFD)) -4.9998198998930428E+10 First Derivative -1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.9998199013897240E+10 First Derivative -1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 1000.0000 log(f(exp(W)|DFN,DFD)) -9.9998240062493454E+10 First Derivative -1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -9.9998240077460266E+10 First Derivative -1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 ++++++++++++++++++++++++++++++++++++++++++++++++++ ------------------ Values Used ------------------- A: 1.0000E-03 B: 1.0000E+10 Standard Deviation: 1000.0008 ************************************************** W (in standard deviations) -1000.0000 log(f(exp(W)|DFN,DFD)) -1.0034610302674325E+03 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.0000071526279417E+03 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -500.0000 log(f(exp(W)|DFN,DFD)) -5.0346061963430219E+02 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -5.0000674199481119E+02 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -7.0767041083030419-218 First Derivative -7.0767041083031931-221 Second Derivative -7.0767041083031929-224 ************************************************** W (in standard deviations) -100.0000 log(f(exp(W)|DFN,DFD)) -1.0346029112779784E+02 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.0000641348830682E+02 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -3.6962936575782213E-44 First Derivative -3.6962936575781952E-47 Second Derivative -3.6962936575781953E-50 ************************************************** W (in standard deviations) -50.0000 log(f(exp(W)|DFN,DFD)) -5.3460250064484811E+01 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -5.0006372424993785E+01 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -1.9164981123188562E-22 First Derivative -1.9164981123188426E-25 Second Derivative -1.9164981123188427E-28 ************************************************** W (in standard deviations) -10.0000 log(f(exp(W)|DFN,DFD)) -1.3460217213834374E+01 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.0006339574343357E+01 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.5114041546987878E-05 First Derivative -4.5115059200663786E-08 Second Derivative -4.5117094569230463E-11 ************************************************** W (in standard deviations) -5.0000 log(f(exp(W)|DFN,DFD)) -8.4602131075030709E+00 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -5.0063354680120522E+00 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -6.7179085931509501E-03 First Derivative -6.7405243562627843E-06 Second Derivative -6.7859590248601561E-09 ************************************************** W (in standard deviations) -1.0000 log(f(exp(W)|DFN,DFD)) -4.4602098224380278E+00 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.0063321829470095E+00 First Derivative 1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.5500833641501243E-01 First Derivative -5.7618652272421300E-04 Second Derivative -9.0817743169323307E-07 ************************************************** W (in standard deviations) .0000 log(f(exp(W)|DFN,DFD)) -3.4612090011717673E+00 First Derivative 0.0000000000000000E+00 Second Derivative -9.9999999999990006E-04 log(F(exp(W)|DFN,DFD)) -6.3323604324269350E-03 First Derivative 9.9900149758729907E-04 Second Derivative -9.9800399218166664E-07 log(1 - F(exp(W)|DFN,DFD)) -5.0652467256504430E+00 First Derivative -1.5726233963832240E-01 Second Derivative -2.4731443468519066E-02 ************************************************** W (in standard deviations) 1.0000 log(f(exp(W)|DFN,DFD)) -9.7006721505768125E+12 First Derivative -1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -9.7006721506032910E+12 First Derivative -1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 5.0000 log(f(exp(W)|DFN,DFD)) -4.9700705001227242E+13 First Derivative -1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.9700705001253727E+13 First Derivative -1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 10.0000 log(f(exp(W)|DFN,DFD)) -9.9700746064540281E+13 First Derivative -1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -9.9700746064566766E+13 First Derivative -1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 50.0000 log(f(exp(W)|DFN,DFD)) -4.9970107457104456E+14 First Derivative -1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.9970107457107106E+14 First Derivative -1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 100.0000 log(f(exp(W)|DFN,DFD)) -9.9970148520417475E+14 First Derivative -1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -9.9970148520420138E+14 First Derivative -1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 500.0000 log(f(exp(W)|DFN,DFD)) -4.9997047702692180E+15 First Derivative -1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.9997047702692440E+15 First Derivative -1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 1000.0000 log(f(exp(W)|DFN,DFD)) -9.9997088766005220E+15 First Derivative -1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -9.9997088766005500E+15 First Derivative -1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 ++++++++++++++++++++++++++++++++++++++++++++++++++ ------------------ Values Used ------------------- A: 1.0000E+01 B: 1.0000E-03 Standard Deviation: 1000.0009 ************************************************** W (in standard deviations) -1000.0000 log(f(exp(W)|DFN,DFD)) -9.9999200860895626E+06 First Derivative 1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -9.9999258426022939E+06 First Derivative 1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -500.0000 log(f(exp(W)|DFN,DFD)) -4.9999157168426430E+06 First Derivative 1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -4.9999214733553734E+06 First Derivative 1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -100.0000 log(f(exp(W)|DFN,DFD)) -9.9991222144510737E+05 First Derivative 1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -9.9991797795783740E+05 First Derivative 1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -50.0000 log(f(exp(W)|DFN,DFD)) -4.9991178452041541E+05 First Derivative 1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -4.9991754103314539E+05 First Derivative 1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -10.0000 log(f(exp(W)|DFN,DFD)) -9.9911434980661856E+04 First Derivative 1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -9.9917191493391845E+04 First Derivative 1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -5.0000 log(f(exp(W)|DFN,DFD)) -4.9911391288192652E+04 First Derivative 1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -4.9917147800922641E+04 First Derivative 1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -1.0000 log(f(exp(W)|DFN,DFD)) -9.9113563342173002E+03 First Derivative 1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -9.9171128469472860E+03 First Derivative 1.0000000000000000E+01 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) .0000 log(f(exp(W)|DFN,DFD)) -3.4612098335925352E+00 First Derivative 0.0000000000000000E+00 Second Derivative -9.9990000999900029E-04 log(F(exp(W)|DFN,DFD)) -5.0572849448748887E+00 First Derivative 1.5600729255014759E-01 Second Derivative -2.4338275328827333E-02 log(1 - F(exp(W)|DFN,DFD)) -6.3831404298559874E-03 First Derivative -9.9900144771369339E-04 Second Derivative -9.9800389253405634E-07 ************************************************** W (in standard deviations) 1.0000 log(f(exp(W)|DFN,DFD)) -4.4602106574435858E+00 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -4.5497904858362348E-01 First Derivative 5.7614036031509910E-04 Second Derivative -9.0807807509911135E-07 log(1 - F(exp(W)|DFN,DFD)) -1.0063830154526840E+00 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 5.0000 log(f(exp(W)|DFN,DFD)) -8.4602141528411217E+00 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -6.7175645464968865E-03 First Derivative 6.7401779906134537E-06 Second Derivative -6.7856079899586034E-09 log(1 - F(exp(W)|DFN,DFD)) -5.0063865108502199E+00 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 10.0000 log(f(exp(W)|DFN,DFD)) -1.3460218522088041E+01 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -4.5111726944248065E-05 First Derivative 4.5112744493503093E-08 Second Derivative -4.5114779653218836E-11 log(1 - F(exp(W)|DFN,DFD)) -1.0006390880097140E+01 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 50.0000 log(f(exp(W)|DFN,DFD)) -5.3460253476063400E+01 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.9163957566537132E-22 First Derivative 1.9163957566537068E-25 Second Derivative -1.9163957566537069E-28 log(1 - F(exp(W)|DFN,DFD)) -5.0006425834072495E+01 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 100.0000 log(f(exp(W)|DFN,DFD)) -1.0346029716853261E+02 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -3.6960865296096725E-44 First Derivative 3.6960865296096341E-47 Second Derivative -3.6960865296096340E-50 log(1 - F(exp(W)|DFN,DFD)) -1.0000646952654169E+02 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 500.0000 log(f(exp(W)|DFN,DFD)) -5.0346064670828622E+02 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -7.0761587172322012-218 First Derivative 7.0761587172320258-221 Second Derivative -7.0761587172320259-224 log(1 - F(exp(W)|DFN,DFD)) -5.0000681906629529E+02 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 1000.0000 log(f(exp(W)|DFN,DFD)) -1.0034610836329783E+03 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -1.0000072559909873E+03 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ++++++++++++++++++++++++++++++++++++++++++++++++++ ------------------ Values Used ------------------- A: 1.0000E+01 B: 1.0000E+01 Standard Deviation: .4586 ************************************************** W (in standard deviations) -1000.0000 log(f(exp(W)|DFN,DFD)) -4.5732724904619372E+03 First Derivative 1.0000000000000000E+01 Second Derivative -1.3326648884764100-198 log(F(exp(W)|DFN,DFD)) -4.5747703565987140E+03 First Derivative 1.0000000000000000E+01 Second Derivative -1.2115135349785545-198 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -500.0000 log(f(exp(W)|DFN,DFD)) -2.2801704900955588E+03 First Derivative 1.0000000000000000E+01 Second Derivative -5.1626831947668643E-99 log(F(exp(W)|DFN,DFD)) -2.2816683562323360E+03 First Derivative 1.0000000000000000E+01 Second Derivative -4.6933483588789677E-99 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -100.0000 log(f(exp(W)|DFN,DFD)) -4.4568888980245617E+02 First Derivative 1.0000000000000000E+01 Second Derivative -2.4176815242413466E-19 log(F(exp(W)|DFN,DFD)) -4.4718675593923319E+02 First Derivative 1.0000000000000000E+01 Second Derivative -2.1978922947648608E-19 log(1 - F(exp(W)|DFN,DFD)) -6.1554458533835186-195 First Derivative -6.1554458533836707-194 Second Derivative -6.1554458533836709-193 ************************************************** W (in standard deviations) -50.0000 log(f(exp(W)|DFN,DFD)) -2.1637868976801730E+02 First Derivative 9.9999999978010532E+00 Second Derivative -2.1989458943676061E-09 log(F(exp(W)|DFN,DFD)) -2.1787655590459437E+02 First Derivative 9.9999999980009591E+00 Second Derivative -1.9990417221224015E-09 log(1 - F(exp(W)|DFN,DFD)) -2.3845917360639720E-95 First Derivative -2.3845917355872393E-94 Second Derivative -2.3845917350628802E-93 ************************************************** W (in standard deviations) -10.0000 log(f(exp(W)|DFN,DFD)) -3.3133327516172983E+01 First Derivative 9.7982269274243485E+00 Second Derivative -1.9973745393481981E-01 log(F(exp(W)|DFN,DFD)) -3.4612693366213811E+01 First Derivative 9.8166979311151739E+00 Second Derivative -1.8132426371733928E-01 log(1 - F(exp(W)|DFN,DFD)) -9.2874880344296150E-16 First Derivative -9.1172464572842077E-15 Second Derivative -8.9332849741726448E-14 ************************************************** W (in standard deviations) -5.0000 log(f(exp(W)|DFN,DFD)) -1.1923029829550387E+01 First Derivative 8.1660827215883121E+00 Second Derivative -1.6657546492088404E+00 log(F(exp(W)|DFN,DFD)) -1.3239944666718156E+01 First Derivative 8.3447599701337953E+00 Second Derivative -1.4910187512359825E+00 log(1 - F(exp(W)|DFN,DFD)) -1.7781380550104785E-06 First Derivative -1.4838148454957241E-05 Second Derivative -1.2116976788903822E-04 ************************************************** W (in standard deviations) -1.0000 log(f(exp(W)|DFN,DFD)) -1.4527203072996946E+00 First Derivative 2.2537369141154859E+00 Second Derivative -4.7460334960976596E+00 log(F(exp(W)|DFN,DFD)) -1.8539261932118762E+00 First Derivative 3.3398464808979456E+00 Second Derivative -3.6274392144879899E+00 log(1 - F(exp(W)|DFN,DFD)) -1.7033887649026339E-01 First Derivative -6.2023150554825557E-01 Second Derivative -1.7825257598261832E+00 ************************************************** W (in standard deviations) .0000 log(f(exp(W)|DFN,DFD)) -9.3143334037940162E-01 First Derivative 0.0000000000000000E+00 Second Derivative -5.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -6.9314718055994506E-01 First Derivative 1.7619705200195308E+00 Second Derivative -3.1045401134178956E+00 log(1 - F(exp(W)|DFN,DFD)) -6.9314718055994506E-01 First Derivative -1.7619705200195308E+00 Second Derivative -3.1045401134178956E+00 ************************************************** W (in standard deviations) 1.0000 log(f(exp(W)|DFN,DFD)) -1.4527203072996957E+00 First Derivative -2.2537369141154859E+00 Second Derivative -4.7460334960976596E+00 log(F(exp(W)|DFN,DFD)) -1.7033887649026339E-01 First Derivative 6.2023150554825557E-01 Second Derivative -1.7825257598261832E+00 log(1 - F(exp(W)|DFN,DFD)) -1.8539261932118762E+00 First Derivative -3.3398464808979456E+00 Second Derivative -3.6274392144879899E+00 ************************************************** W (in standard deviations) 5.0000 log(f(exp(W)|DFN,DFD)) -1.1923029829550387E+01 First Derivative -8.1660827215883121E+00 Second Derivative -1.6657546492088404E+00 log(F(exp(W)|DFN,DFD)) -1.7781380550104785E-06 First Derivative 1.4838148454957241E-05 Second Derivative -1.2116976788903822E-04 log(1 - F(exp(W)|DFN,DFD)) -1.3239944666718156E+01 First Derivative -8.3447599701337953E+00 Second Derivative -1.4910187512359825E+00 ************************************************** W (in standard deviations) 10.0000 log(f(exp(W)|DFN,DFD)) -3.3133327516172983E+01 First Derivative -9.7982269274243485E+00 Second Derivative -1.9973745393481981E-01 log(F(exp(W)|DFN,DFD)) -9.2874880344296150E-16 First Derivative 9.1172464572842077E-15 Second Derivative -8.9332849741726448E-14 log(1 - F(exp(W)|DFN,DFD)) -3.4612693366213811E+01 First Derivative -9.8166979311151739E+00 Second Derivative -1.8132426371733928E-01 ************************************************** W (in standard deviations) 50.0000 log(f(exp(W)|DFN,DFD)) -2.1637868976801730E+02 First Derivative -9.9999999978010532E+00 Second Derivative -2.1989458943676061E-09 log(F(exp(W)|DFN,DFD)) -2.3845917360639720E-95 First Derivative 2.3845917355872393E-94 Second Derivative -2.3845917350628802E-93 log(1 - F(exp(W)|DFN,DFD)) -2.1787655590459437E+02 First Derivative -9.9999999980009591E+00 Second Derivative -1.9990417221224015E-09 ************************************************** W (in standard deviations) 100.0000 log(f(exp(W)|DFN,DFD)) -4.4568888980245623E+02 First Derivative -1.0000000000000000E+01 Second Derivative -2.4176815242413466E-19 log(F(exp(W)|DFN,DFD)) -6.1554458533835186-195 First Derivative 6.1554458533836707-194 Second Derivative -6.1554458533836709-193 log(1 - F(exp(W)|DFN,DFD)) -4.4718675593923319E+02 First Derivative -1.0000000000000000E+01 Second Derivative -2.1978922947648608E-19 ************************************************** W (in standard deviations) 500.0000 log(f(exp(W)|DFN,DFD)) -2.2801704900955588E+03 First Derivative -1.0000000000000000E+01 Second Derivative -5.1626831947668643E-99 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -2.2816683562323360E+03 First Derivative -1.0000000000000000E+01 Second Derivative -4.6933483588789677E-99 ************************************************** W (in standard deviations) 1000.0000 log(f(exp(W)|DFN,DFD)) -4.5732724904619372E+03 First Derivative -1.0000000000000000E+01 Second Derivative -1.3326648884764100-198 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.5747703565987140E+03 First Derivative -1.0000000000000000E+01 Second Derivative -1.2115135349785545-198 ++++++++++++++++++++++++++++++++++++++++++++++++++ ------------------ Values Used ------------------- A: 1.0000E+01 B: 1.0000E+05 Standard Deviation: .3243 ************************************************** W (in standard deviations) -1000.0000 log(f(exp(W)|DFN,DFD)) -3.2340168963174692E+03 First Derivative 1.0000000000000000E+01 Second Derivative -1.4270157659510940-140 log(F(exp(W)|DFN,DFD)) -3.2351682388614663E+03 First Derivative 1.0000000000000000E+01 Second Derivative -1.2972870599555157-140 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -500.0000 log(f(exp(W)|DFN,DFD)) -1.6124718327154280E+03 First Derivative 1.0000000000000000E+01 Second Derivative -3.7777750959098786E-70 log(F(exp(W)|DFN,DFD)) -1.6136231752594254E+03 First Derivative 1.0000000000000000E+01 Second Derivative -3.4343409962817415E-70 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -100.0000 log(f(exp(W)|DFN,DFD)) -3.1523578183379544E+02 First Derivative 9.9999999999999183E+00 Second Derivative -8.2315564663431681E-14 log(F(exp(W)|DFN,DFD)) -3.1638712437779259E+02 First Derivative 9.9999999999999254E+00 Second Derivative -7.4832331512210704E-14 log(1 - F(exp(W)|DFN,DFD)) -3.9338494700177524-138 First Derivative -3.9338494700175802-137 Second Derivative -3.9338494700175482-136 ************************************************** W (in standard deviations) -50.0000 log(f(exp(W)|DFN,DFD)) -1.5308127638091591E+02 First Derivative 9.9999990926753828E+00 Second Derivative -9.0732461785686469E-07 log(F(exp(W)|DFN,DFD)) -1.5423261884242905E+02 First Derivative 9.9999991751594450E+00 Second Derivative -8.2484055034993721E-07 log(1 - F(exp(W)|DFN,DFD)) -1.0414171066198608E-67 First Derivative -1.0414170207195625E-66 Second Derivative -1.0414169262292326E-65 ************************************************** W (in standard deviations) -10.0000 log(f(exp(W)|DFN,DFD)) -2.3748139270980541E+01 First Derivative 9.6095318767000109E+00 Second Derivative -3.9046659879888429E-01 log(F(exp(W)|DFN,DFD)) -2.4863450951713027E+01 First Derivative 9.6461052199383310E+00 Second Derivative -3.5279031712173942E-01 log(1 - F(exp(W)|DFN,DFD)) -1.5919904222499156E-11 First Derivative -1.5356507122279138E-10 Second Derivative -1.4756884470867034E-09 ************************************************** W (in standard deviations) -5.0000 log(f(exp(W)|DFN,DFD)) -9.1183295103432851E+00 First Derivative 8.0239097620323641E+00 Second Derivative -1.9760511925458917E+00 log(F(exp(W)|DFN,DFD)) -1.0075376905439015E+01 First Derivative 8.2341483841502754E+00 Second Derivative -1.7311360105981799E+00 log(1 - F(exp(W)|DFN,DFD)) -4.2104503425869197E-05 First Derivative -3.4670202765671172E-04 Second Derivative -2.7820259865270849E-03 ************************************************** W (in standard deviations) -1.0000 log(f(exp(W)|DFN,DFD)) -1.4005887037965181E+00 First Derivative 2.7695319215990928E+00 Second Derivative -7.2299453339890203E+00 log(F(exp(W)|DFN,DFD)) -1.6419233349386095E+00 First Derivative 4.0252103893037932E+00 Second Derivative -5.0543700138300274E+00 log(1 - F(exp(W)|DFN,DFD)) -2.1518444948319163E-01 First Derivative -9.6641521752302728E-01 Second Derivative -3.6104761671092351E+00 ************************************************** W (in standard deviations) .0000 log(f(exp(W)|DFN,DFD)) -9.2726909672136060E-01 First Derivative 0.0000000000000000E+00 Second Derivative -9.9990000999900008E+00 log(F(exp(W)|DFN,DFD)) -6.1237114728617059E-01 First Derivative 2.3079151846721486E+00 Second Derivative -5.3264724996402775E+00 log(1 - F(exp(W)|DFN,DFD)) -7.8102590896640534E-01 First Derivative -2.7319055277985882E+00 Second Derivative -7.4633078128164829E+00 ************************************************** W (in standard deviations) 1.0000 log(f(exp(W)|DFN,DFD)) -1.5148518930989192E+00 First Derivative -3.8302165399253658E+00 Second Derivative -1.3828303982285718E+01 log(F(exp(W)|DFN,DFD)) -1.2519439211184191E-01 First Derivative 7.8787569266741941E-01 Second Derivative -3.6384826165560700E+00 log(1 - F(exp(W)|DFN,DFD)) -2.1398318259335576E+00 First Derivative -5.9074985334784822E+00 Second Derivative -1.2271540330536293E+01 ************************************************** W (in standard deviations) 5.0000 log(f(exp(W)|DFN,DFD)) -2.5312613017095277E+01 First Derivative -4.0588495523498224E+01 Second Derivative -5.0562906123644908E+01 log(F(exp(W)|DFN,DFD)) -7.6868665965674064E-13 First Derivative 3.2125517364939259E-11 Second Derivative -1.3039264177579336E-09 log(1 - F(exp(W)|DFN,DFD)) -2.7894092973127275E+01 First Derivative -4.1792734349351086E+01 Second Derivative -5.0328433342043120E+01 ************************************************** W (in standard deviations) 10.0000 log(f(exp(W)|DFN,DFD)) -2.1432146276584987E+02 First Derivative -2.4549867278454519E+02 Second Derivative -2.5484594233964296E+02 log(F(exp(W)|DFN,DFD)) -1.0702270945404195E-95 First Derivative 2.6384547705073414E-93 Second Derivative -6.4773714436160403E-91 log(1 - F(exp(W)|DFN,DFD)) -2.1867771297059113E+02 First Derivative -2.4653223451051937E+02 Second Derivative -2.5480628180901002E+02 ************************************************** W (in standard deviations) 50.0000 log(f(exp(W)|DFN,DFD)) -7.0050054109869769E+05 First Derivative -9.9909349779165539E+04 Second Derivative -9.0568054425716824E+01 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -7.0051090187470929E+05 First Derivative -9.9909350685658777E+04 Second Derivative -9.0567148754081458E+01 ************************************************** W (in standard deviations) 100.0000 log(f(exp(W)|DFN,DFD)) -2.3219549133800888E+06 First Derivative -9.9999999991768447E+04 Second Derivative -8.2315564649881323E-06 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -2.3219652750630053E+06 First Derivative -9.9999999991768520E+04 Second Derivative -8.2314741502466496E-06 ************************************************** W (in standard deviations) 500.0000 log(f(exp(W)|DFN,DFD)) -1.5294315422188187E+07 First Derivative -1.0000000000000000E+05 Second Derivative -3.7777750959098785E-62 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -1.5294325783871103E+07 First Derivative -1.0000000000000000E+05 Second Derivative -3.7777373185366563E-62 ************************************************** W (in standard deviations) 1000.0000 log(f(exp(W)|DFN,DFD)) -3.1509766058208592E+07 First Derivative -1.0000000000000000E+05 Second Derivative -1.4270157659510939-132 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -3.1509776419891510E+07 First Derivative -1.0000000000000000E+05 Second Derivative -1.4270014959361613-132 ++++++++++++++++++++++++++++++++++++++++++++++++++ ------------------ Values Used ------------------- A: 1.0000E+01 B: 1.0000E+10 Standard Deviation: .3243 ************************************************** W (in standard deviations) -1000.0000 log(f(exp(W)|DFN,DFD)) -3.2338632194564575E+03 First Derivative 1.0000000000000000E+01 Second Derivative -1.4490426205564323-140 log(F(exp(W)|DFN,DFD)) -3.2350145120034545E+03 First Derivative 1.0000000000000000E+01 Second Derivative -1.3173114732331584-140 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -500.0000 log(f(exp(W)|DFN,DFD)) -1.6123952442740476E+03 First Derivative 1.0000000000000000E+01 Second Derivative -3.8066292464665831E-70 log(F(exp(W)|DFN,DFD)) -1.6135465368210446E+03 First Derivative 1.0000000000000000E+01 Second Derivative -3.4605720422423500E-70 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -100.0000 log(f(exp(W)|DFN,DFD)) -3.1522086412812013E+02 First Derivative 9.9999999999999183E+00 Second Derivative -8.2434330733016166E-14 log(F(exp(W)|DFN,DFD)) -3.1637215667511703E+02 First Derivative 9.9999999999999254E+00 Second Derivative -7.4940300666378275E-14 log(1 - F(exp(W)|DFN,DFD)) -3.9931730203593735-138 First Derivative -3.9931730203588794-137 Second Derivative -3.9931730203588465-136 ************************************************** W (in standard deviations) -50.0000 log(f(exp(W)|DFN,DFD)) -1.5307406751781255E+02 First Derivative 9.9999990920664636E+00 Second Derivative -9.0793353730022820E-07 log(F(exp(W)|DFN,DFD)) -1.5422535998227011E+02 First Derivative 9.9999991746058807E+00 Second Derivative -8.2539411346380062E-07 log(1 - F(exp(W)|DFN,DFD)) -1.0490041109517726E-67 First Derivative -1.0490040243675348E-66 Second Derivative -1.0490039291249415E-65 ************************************************** W (in standard deviations) -10.0000 log(f(exp(W)|DFN,DFD)) -2.3747119400412856E+01 First Derivative 9.6095091948809959E+00 Second Derivative -3.9049080510375694E-01 log(F(exp(W)|DFN,DFD)) -2.4862378971838140E+01 First Derivative 9.6460848444242462E+00 Second Derivative -3.5281181873414874E-01 log(1 - F(exp(W)|DFN,DFD)) -1.5936979189811749E-11 First Derivative -1.5372945342996671E-10 Second Derivative -1.4772645962829276E-09 ************************************************** W (in standard deviations) -5.0000 log(f(exp(W)|DFN,DFD)) -9.1180328635573833E+00 First Derivative 8.0239159800999964E+00 Second Derivative -1.9760840195095131E+00 log(F(exp(W)|DFN,DFD)) -1.0075031317601789E+01 First Derivative 8.2341570789943273E+00 Second Derivative -1.7311582327563009E+00 log(1 - F(exp(W)|DFN,DFD)) -4.2119057051216678E-05 First Derivative -3.4682223564033401E-04 Second Derivative -2.7829927644716168E-03 ************************************************** W (in standard deviations) -1.0000 log(f(exp(W)|DFN,DFD)) -1.4005843552880475E+00 First Derivative 2.7696206893287232E+00 Second Derivative -7.2303793054434404E+00 log(F(exp(W)|DFN,DFD)) -1.6418968895922712E+00 First Derivative 4.0253226948936076E+00 Second Derivative -5.0546057810237484E+00 log(1 - F(exp(W)|DFN,DFD)) -2.1519079886663856E-01 First Derivative -9.6647387577047328E-01 Second Derivative -3.6108377945764212E+00 ************************************************** W (in standard deviations) .0000 log(f(exp(W)|DFN,DFD)) -9.2726909663803569E-01 First Derivative 0.0000000000000000E+00 Second Derivative -9.9999999899999992E+00 log(F(exp(W)|DFN,DFD)) -6.1235960796915279E-01 First Derivative 2.3080039436420869E+00 Second Derivative -5.3268822038674255E+00 log(1 - F(exp(W)|DFN,DFD)) -7.8103956835967658E-01 First Derivative -2.7320794368144954E+00 Second Derivative -7.4642580490646102E+00 ************************************************** W (in standard deviations) 1.0000 log(f(exp(W)|DFN,DFD)) -1.5148661965659456E+00 First Derivative -3.8305330457285178E+00 Second Derivative -1.3830533026600154E+01 log(F(exp(W)|DFN,DFD)) -1.2518751065392122E-01 First Derivative 7.8789839332816525E-01 Second Derivative -3.6388547105290465E+00 log(1 - F(exp(W)|DFN,DFD)) -2.1398834246713379E+00 First Derivative -5.9080142349489773E+00 Second Derivative -1.2273788438753204E+01 ************************************************** W (in standard deviations) 5.0000 log(f(exp(W)|DFN,DFD)) -2.5317725012270721E+01 First Derivative -4.0605135544412803E+01 Second Derivative -5.0605135288324824E+01 log(F(exp(W)|DFN,DFD)) -7.6449137411377048E-13 First Derivative 3.1963308950373786E-11 Second Derivative -1.2978744923788922E-09 log(1 - F(exp(W)|DFN,DFD)) -2.7899565652648416E+01 First Derivative -4.1809901370587419E+01 Second Derivative -5.0371140367014924E+01 ************************************************** W (in standard deviations) 10.0000 log(f(exp(W)|DFN,DFD)) -2.1458588299156159E+02 First Derivative -2.4608797012451956E+02 Second Derivative -2.5608796356641471E+02 log(F(exp(W)|DFN,DFD)) -8.1963413011124028E-96 First Derivative 2.0255134072766565E-93 Second Derivative -4.9845448285671165E-91 log(1 - F(exp(W)|DFN,DFD)) -2.1894448105551851E+02 First Derivative -2.4712409267319424E+02 Second Derivative -2.5605084473960977E+02 ************************************************** W (in standard deviations) 50.0000 log(f(exp(W)|DFN,DFD)) -1.0953792327969025E+08 First Derivative -1.0894033931224398E+08 Second Derivative -1.0775354934260343E+08 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -1.0953794063470867E+08 First Derivative -1.0894034030135010E+08 Second Derivative -1.0775354933182806E+08 ************************************************** W (in standard deviations) 100.0000 log(f(exp(W)|DFN,DFD)) -1.1706101888470341E+11 First Derivative -9.9999175663488045E+09 Second Derivative -8.2432971666045938E+04 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -1.1706101890657796E+11 First Derivative -9.9999175663488121E+09 Second Derivative -8.2432971657802525E+04 ************************************************** W (in standard deviations) 500.0000 log(f(exp(W)|DFN,DFD)) -1.4142353165966401E+12 First Derivative -1.0000000000000000E+10 Second Derivative -3.8066292464665828E-52 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -1.4142353166185146E+12 First Derivative -1.0000000000000000E+10 Second Derivative -3.8066292460859173E-52 ************************************************** W (in standard deviations) 1000.0000 log(f(exp(W)|DFN,DFD)) -3.0357032917790503E+12 First Derivative -1.0000000000000000E+10 Second Derivative -1.4490426205564323-122 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -3.0357032918009243E+12 First Derivative -1.0000000000000000E+10 Second Derivative -1.4490426204114855-122 ++++++++++++++++++++++++++++++++++++++++++++++++++ ------------------ Values Used ------------------- A: 1.0000E+05 B: 1.0000E-03 Standard Deviation: 1000.0008 ************************************************** W (in standard deviations) -1000.0000 log(f(exp(W)|DFN,DFD)) -9.9998240062493454E+10 First Derivative 1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -9.9998240077460266E+10 First Derivative 1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -500.0000 log(f(exp(W)|DFN,DFD)) -4.9998198998930428E+10 First Derivative 1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -4.9998199013897240E+10 First Derivative 1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -100.0000 log(f(exp(W)|DFN,DFD)) -9.9981661480800018E+09 First Derivative 1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -9.9981661630468044E+09 First Derivative 1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -50.0000 log(f(exp(W)|DFN,DFD)) -4.9981620417236967E+09 First Derivative 1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -4.9981620566905003E+09 First Derivative 1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -10.0000 log(f(exp(W)|DFN,DFD)) -9.9815875663865364E+08 First Derivative 1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -9.9815877160545695E+08 First Derivative 1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -5.0000 log(f(exp(W)|DFN,DFD)) -4.9815834600302345E+08 First Derivative 1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -4.9815836096982658E+08 First Derivative 1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -1.0000 log(f(exp(W)|DFN,DFD)) -9.8158017494519144E+07 First Derivative 1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -9.8158032461322263E+07 First Derivative 1.0000000000000000E+05 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) .0000 log(f(exp(W)|DFN,DFD)) -3.4612090011717758E+00 First Derivative 0.0000000000000000E+00 Second Derivative -9.9999999000000028E-04 log(F(exp(W)|DFN,DFD)) -5.0652459393456111E+00 First Derivative 1.5726221519592892E-01 Second Derivative -2.4731404328330656E-02 log(1 - F(exp(W)|DFN,DFD)) -6.3323654273927804E-03 First Derivative -9.9900149758231152E-04 Second Derivative -9.9800399217169855E-07 ************************************************** W (in standard deviations) 1.0000 log(f(exp(W)|DFN,DFD)) -4.4602098224380367E+00 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -4.5500833353410364E-01 First Derivative 5.7618651818336310E-04 Second Derivative -9.0817742191963022E-07 log(1 - F(exp(W)|DFN,DFD)) -1.0063321879469682E+00 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 5.0000 log(f(exp(W)|DFN,DFD)) -8.4602131075230798E+00 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -6.7179085593137913E-03 First Derivative 6.7405243221975442E-06 Second Derivative -6.7859589903356805E-09 log(1 - F(exp(W)|DFN,DFD)) -5.0063354730320118E+00 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 10.0000 log(f(exp(W)|DFN,DFD)) -1.3460217213879384E+01 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -4.5114041319384290E-05 First Derivative 4.5115058973049800E-08 Second Derivative -4.5117094341595948E-11 log(1 - F(exp(W)|DFN,DFD)) -1.0006339579388316E+01 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 50.0000 log(f(exp(W)|DFN,DFD)) -5.3460250064729813E+01 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.9164981022668934E-22 First Derivative 1.9164981022669011E-25 Second Derivative -1.9164981022669011E-28 log(1 - F(exp(W)|DFN,DFD)) -5.0006372430238748E+01 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 100.0000 log(f(exp(W)|DFN,DFD)) -1.0346029112829287E+02 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -3.6962936372672060E-44 First Derivative 3.6962936372671684E-47 Second Derivative -3.6962936372671683E-50 log(1 - F(exp(W)|DFN,DFD)) -1.0000641349380179E+02 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 500.0000 log(f(exp(W)|DFN,DFD)) -5.0346061963679711E+02 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -7.0767040552641240-218 First Derivative 7.0767040552642536-221 Second Derivative -7.0767040552642541-224 log(1 - F(exp(W)|DFN,DFD)) -5.0000674200230605E+02 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 1000.0000 log(f(exp(W)|DFN,DFD)) -1.0034610302724275E+03 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -1.0000071526379365E+03 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ++++++++++++++++++++++++++++++++++++++++++++++++++ ------------------ Values Used ------------------- A: 1.0000E+05 B: 1.0000E+01 Standard Deviation: .3243 ************************************************** W (in standard deviations) -1000.0000 log(f(exp(W)|DFN,DFD)) -3.1509766058208592E+07 First Derivative 1.0000000000000000E+05 Second Derivative -1.4270157659510939-132 log(F(exp(W)|DFN,DFD)) -3.1509776419891510E+07 First Derivative 1.0000000000000000E+05 Second Derivative -1.4270014959361613-132 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -500.0000 log(f(exp(W)|DFN,DFD)) -1.5294315422188187E+07 First Derivative 1.0000000000000000E+05 Second Derivative -3.7777750959098785E-62 log(F(exp(W)|DFN,DFD)) -1.5294325783871103E+07 First Derivative 1.0000000000000000E+05 Second Derivative -3.7777373185366563E-62 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -100.0000 log(f(exp(W)|DFN,DFD)) -2.3219549133800888E+06 First Derivative 9.9999999991768447E+04 Second Derivative -8.2315564649881323E-06 log(F(exp(W)|DFN,DFD)) -2.3219652750630053E+06 First Derivative 9.9999999991768520E+04 Second Derivative -8.2314741502466496E-06 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -50.0000 log(f(exp(W)|DFN,DFD)) -7.0050054109869769E+05 First Derivative 9.9909349779165539E+04 Second Derivative -9.0568054425716824E+01 log(F(exp(W)|DFN,DFD)) -7.0051090187470929E+05 First Derivative 9.9909350685658777E+04 Second Derivative -9.0567148754081458E+01 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -10.0000 log(f(exp(W)|DFN,DFD)) -2.1432146276584987E+02 First Derivative 2.4549867278454519E+02 Second Derivative -2.5484594233964296E+02 log(F(exp(W)|DFN,DFD)) -2.1867771297059113E+02 First Derivative 2.4653223451051937E+02 Second Derivative -2.5480628180901002E+02 log(1 - F(exp(W)|DFN,DFD)) -1.0702270945404195E-95 First Derivative -2.6384547705073414E-93 Second Derivative -6.4773714436160403E-91 ************************************************** W (in standard deviations) -5.0000 log(f(exp(W)|DFN,DFD)) -2.5312613017095277E+01 First Derivative 4.0588495523498224E+01 Second Derivative -5.0562906123644908E+01 log(F(exp(W)|DFN,DFD)) -2.7894092973127275E+01 First Derivative 4.1792734349351086E+01 Second Derivative -5.0328433342043120E+01 log(1 - F(exp(W)|DFN,DFD)) -7.6868665965674064E-13 First Derivative -3.2125517364939259E-11 Second Derivative -1.3039264177579336E-09 ************************************************** W (in standard deviations) -1.0000 log(f(exp(W)|DFN,DFD)) -1.5148518930989192E+00 First Derivative 3.8302165399253658E+00 Second Derivative -1.3828303982285718E+01 log(F(exp(W)|DFN,DFD)) -2.1398318259335576E+00 First Derivative 5.9074985334784822E+00 Second Derivative -1.2271540330536293E+01 log(1 - F(exp(W)|DFN,DFD)) -1.2519439211184191E-01 First Derivative -7.8787569266741941E-01 Second Derivative -3.6384826165560700E+00 ************************************************** W (in standard deviations) .0000 log(f(exp(W)|DFN,DFD)) -9.2726909672136060E-01 First Derivative 0.0000000000000000E+00 Second Derivative -9.9990000999900008E+00 log(F(exp(W)|DFN,DFD)) -7.8102590896640534E-01 First Derivative 2.7319055277985882E+00 Second Derivative -7.4633078128164829E+00 log(1 - F(exp(W)|DFN,DFD)) -6.1237114728617059E-01 First Derivative -2.3079151846721486E+00 Second Derivative -5.3264724996402775E+00 ************************************************** W (in standard deviations) 1.0000 log(f(exp(W)|DFN,DFD)) -1.4005887037965181E+00 First Derivative -2.7695319215990928E+00 Second Derivative -7.2299453339890203E+00 log(F(exp(W)|DFN,DFD)) -2.1518444948319163E-01 First Derivative 9.6641521752302728E-01 Second Derivative -3.6104761671092351E+00 log(1 - F(exp(W)|DFN,DFD)) -1.6419233349386095E+00 First Derivative -4.0252103893037932E+00 Second Derivative -5.0543700138300274E+00 ************************************************** W (in standard deviations) 5.0000 log(f(exp(W)|DFN,DFD)) -9.1183295103432851E+00 First Derivative -8.0239097620323641E+00 Second Derivative -1.9760511925458917E+00 log(F(exp(W)|DFN,DFD)) -4.2104503425869197E-05 First Derivative 3.4670202765671172E-04 Second Derivative -2.7820259865270849E-03 log(1 - F(exp(W)|DFN,DFD)) -1.0075376905439015E+01 First Derivative -8.2341483841502754E+00 Second Derivative -1.7311360105981799E+00 ************************************************** W (in standard deviations) 10.0000 log(f(exp(W)|DFN,DFD)) -2.3748139270980541E+01 First Derivative -9.6095318767000109E+00 Second Derivative -3.9046659879888429E-01 log(F(exp(W)|DFN,DFD)) -1.5919904222499156E-11 First Derivative 1.5356507122279138E-10 Second Derivative -1.4756884470867034E-09 log(1 - F(exp(W)|DFN,DFD)) -2.4863450951713027E+01 First Derivative -9.6461052199383310E+00 Second Derivative -3.5279031712173942E-01 ************************************************** W (in standard deviations) 50.0000 log(f(exp(W)|DFN,DFD)) -1.5308127638091591E+02 First Derivative -9.9999990926753828E+00 Second Derivative -9.0732461785686469E-07 log(F(exp(W)|DFN,DFD)) -1.0414171066198608E-67 First Derivative 1.0414170207195625E-66 Second Derivative -1.0414169262292326E-65 log(1 - F(exp(W)|DFN,DFD)) -1.5423261884242905E+02 First Derivative -9.9999991751594450E+00 Second Derivative -8.2484055034993721E-07 ************************************************** W (in standard deviations) 100.0000 log(f(exp(W)|DFN,DFD)) -3.1523578183379544E+02 First Derivative -9.9999999999999183E+00 Second Derivative -8.2315564663431681E-14 log(F(exp(W)|DFN,DFD)) -3.9338494700177524-138 First Derivative 3.9338494700175802-137 Second Derivative -3.9338494700175482-136 log(1 - F(exp(W)|DFN,DFD)) -3.1638712437779259E+02 First Derivative -9.9999999999999254E+00 Second Derivative -7.4832331512210704E-14 ************************************************** W (in standard deviations) 500.0000 log(f(exp(W)|DFN,DFD)) -1.6124718327154280E+03 First Derivative -1.0000000000000000E+01 Second Derivative -3.7777750959098786E-70 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -1.6136231752594254E+03 First Derivative -1.0000000000000000E+01 Second Derivative -3.4343409962817415E-70 ************************************************** W (in standard deviations) 1000.0000 log(f(exp(W)|DFN,DFD)) -3.2340168963174692E+03 First Derivative -1.0000000000000000E+01 Second Derivative -1.4270157659510940-140 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -3.2351682388614663E+03 First Derivative -1.0000000000000000E+01 Second Derivative -1.2972870599555157-140 ++++++++++++++++++++++++++++++++++++++++++++++++++ ------------------ Values Used ------------------- A: 1.0000E+05 B: 1.0000E+05 Standard Deviation: .0045 ************************************************** W (in standard deviations) -1000.0000 log(f(exp(W)|DFN,DFD)) -3.1085779958729801E+05 First Derivative 9.7741248526967363E+04 Second Derivative -2.2332416819479945E+03 log(F(exp(W)|DFN,DFD)) -3.1086387977733428E+05 First Derivative 9.7741271375236029E+04 Second Derivative -2.2332188277270216E+03 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -500.0000 log(f(exp(W)|DFN,DFD)) -1.0528740618542809E+05 First Derivative 8.0688496281819156E+04 Second Derivative -1.7446832838894294E+04 log(F(exp(W)|DFN,DFD)) -1.0529329465026056E+05 First Derivative 8.0688712503036222E+04 Second Derivative -1.7446611622348908E+04 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -100.0000 log(f(exp(W)|DFN,DFD)) -4.9598241221303224E+03 First Derivative 2.1995360685783169E+04 Second Derivative -4.7581020541511520E+04 log(F(exp(W)|DFN,DFD)) -4.9644129181445123E+03 First Derivative 2.1997523468708863E+04 Second Derivative -4.7575868165598935E+04 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -50.0000 log(f(exp(W)|DFN,DFD)) -1.2483296449739591E+03 First Derivative 1.1134014493583265E+04 Second Derivative -4.9380168606283391E+04 log(F(exp(W)|DFN,DFD)) -1.2522379138378881E+03 First Derivative 1.1138445996217275E+04 Second Derivative -4.9360052771119845E+04 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -10.0000 log(f(exp(W)|DFN,DFD)) -5.0915023631183971E+01 First Derivative 2.2357009614114813E+03 Second Derivative -4.9975008206055718E+04 log(F(exp(W)|DFN,DFD)) -5.3227204371255667E+01 First Derivative 2.2576277713098380E+03 Second Derivative -4.9502574962744766E+04 log(1 - F(exp(W)|DFN,DFD)) -7.6510114945053022E-24 First Derivative -1.7273136028605835E-20 Second Derivative -3.8617566825745362E-17 ************************************************** W (in standard deviations) -5.0000 log(f(exp(W)|DFN,DFD)) -1.3418741872822510E+01 First Derivative 1.1179902010709197E+03 Second Derivative -4.9993750489551545E+04 log(F(exp(W)|DFN,DFD)) -1.5064760686560318E+01 First Derivative 1.1596899407830274E+03 Second Derivative -4.8358768677410560E+04 log(1 - F(exp(W)|DFN,DFD)) -2.8671976029061557E-07 First Derivative -3.3250606950067295E-04 Second Derivative -3.7173863805864482E-01 ************************************************** W (in standard deviations) -1.0000 log(f(exp(W)|DFN,DFD)) -1.4189418665427280E+00 First Derivative 2.2360698408809193E+02 Second Derivative -4.9999749999583335E+04 log(F(exp(W)|DFN,DFD)) -1.8410229159575540E+00 First Derivative 3.4102991190055400E+02 Second Derivative -4.0044730726985566E+04 log(1 - F(exp(W)|DFN,DFD)) -1.7275353935659699E-01 First Derivative -6.4309078757632136E+01 Second Derivative -1.8515616761133035E+04 ************************************************** W (in standard deviations) .0000 log(f(exp(W)|DFN,DFD)) -9.1893978320467273E-01 First Derivative 0.0000000000000000E+00 Second Derivative -5.0000000000000000E+04 log(F(exp(W)|DFN,DFD)) -6.9314718055994540E-01 First Derivative 1.7841218859990198E+02 Second Derivative -3.1830909041006995E+04 log(1 - F(exp(W)|DFN,DFD)) -6.9314718055994540E-01 First Derivative -1.7841218859990198E+02 Second Derivative -3.1830909041006995E+04 ************************************************** W (in standard deviations) 1.0000 log(f(exp(W)|DFN,DFD)) -1.4189418665427280E+00 First Derivative -2.2360698408809193E+02 Second Derivative -4.9999749999583335E+04 log(F(exp(W)|DFN,DFD)) -1.7275353935659699E-01 First Derivative 6.4309078757632136E+01 Second Derivative -1.8515616761133035E+04 log(1 - F(exp(W)|DFN,DFD)) -1.8410229159575540E+00 First Derivative -3.4102991190055400E+02 Second Derivative -4.0044730726985566E+04 ************************************************** W (in standard deviations) 5.0000 log(f(exp(W)|DFN,DFD)) -1.3418741872822510E+01 First Derivative -1.1179902010709197E+03 Second Derivative -4.9993750489551545E+04 log(F(exp(W)|DFN,DFD)) -2.8671976029061557E-07 First Derivative 3.3250606950067295E-04 Second Derivative -3.7173863805864482E-01 log(1 - F(exp(W)|DFN,DFD)) -1.5064760686560318E+01 First Derivative -1.1596899407830274E+03 Second Derivative -4.8358768677410560E+04 ************************************************** W (in standard deviations) 10.0000 log(f(exp(W)|DFN,DFD)) -5.0915023631183971E+01 First Derivative -2.2357009614114813E+03 Second Derivative -4.9975008206055718E+04 log(F(exp(W)|DFN,DFD)) -7.6510114945053022E-24 First Derivative 1.7273136028605835E-20 Second Derivative -3.8617566825745362E-17 log(1 - F(exp(W)|DFN,DFD)) -5.3227204371255667E+01 First Derivative -2.2576277713098380E+03 Second Derivative -4.9502574962744766E+04 ************************************************** W (in standard deviations) 50.0000 log(f(exp(W)|DFN,DFD)) -1.2483296449739814E+03 First Derivative -1.1134014493583265E+04 Second Derivative -4.9380168606283391E+04 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -1.2522379138378881E+03 First Derivative -1.1138445996217275E+04 Second Derivative -4.9360052771119845E+04 ************************************************** W (in standard deviations) 100.0000 log(f(exp(W)|DFN,DFD)) -4.9598241221303115E+03 First Derivative -2.1995360685783169E+04 Second Derivative -4.7581020541511520E+04 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -4.9644129181445123E+03 First Derivative -2.1997523468708863E+04 Second Derivative -4.7575868165598935E+04 ************************************************** W (in standard deviations) 500.0000 log(f(exp(W)|DFN,DFD)) -1.0528740618542813E+05 First Derivative -8.0688496281819156E+04 Second Derivative -1.7446832838894294E+04 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -1.0529329465026056E+05 First Derivative -8.0688712503036222E+04 Second Derivative -1.7446611622348908E+04 ************************************************** W (in standard deviations) 1000.0000 log(f(exp(W)|DFN,DFD)) -3.1085779958729801E+05 First Derivative -9.7741248526967363E+04 Second Derivative -2.2332416819479945E+03 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -3.1086387977733428E+05 First Derivative -9.7741271375236029E+04 Second Derivative -2.2332188277270216E+03 ++++++++++++++++++++++++++++++++++++++++++++++++++ ------------------ Values Used ------------------- A: 1.0000E+05 B: 1.0000E+10 Standard Deviation: .0032 ************************************************** W (in standard deviations) -1000.0000 log(f(exp(W)|DFN,DFD)) -2.2046341966344247E+05 First Derivative 9.5767137892262574E+04 Second Derivative -4.2328603160431867E+03 log(F(exp(W)|DFN,DFD)) -2.2046913288104831E+05 First Derivative 9.5767182091267590E+04 Second Derivative -4.2328141635661241E+03 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -500.0000 log(f(exp(W)|DFN,DFD)) -7.8689494506437011E+04 First Derivative 7.9426014458269841E+04 Second Derivative -2.0573943213265327E+04 log(F(exp(W)|DFN,DFD)) -7.8695020633197331E+04 First Derivative 7.9426273486122867E+04 Second Derivative -2.0573617093176519E+04 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -100.0000 log(f(exp(W)|DFN,DFD)) -4.5130645011025808E+03 First Derivative 2.7110633853432344E+04 Second Derivative -7.2888834865910743E+04 log(F(exp(W)|DFN,DFD)) -4.5175158238351632E+03 First Derivative 2.7113321791283754E+04 Second Derivative -7.2878923921511145E+04 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -50.0000 log(f(exp(W)|DFN,DFD)) -1.1875687411565648E+03 First Derivative 1.4624721531156318E+04 Second Derivative -8.5374549582315201E+04 log(F(exp(W)|DFN,DFD)) -1.1914031507963202E+03 First Derivative 1.4630554169351879E+04 Second Derivative -8.5334729070417117E+04 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -10.0000 log(f(exp(W)|DFN,DFD)) -5.0396287329936797E+01 First Derivative 3.1127933857698658E+03 Second Derivative -9.6886267910536611E+04 log(F(exp(W)|DFN,DFD)) -5.2692863127444760E+01 First Derivative 3.1433158660562058E+03 Second Derivative -9.5941796555228328E+04 log(1 - F(exp(W)|DFN,DFD)) -1.3055103164428164E-23 First Derivative -4.1036312909836235E-20 Second Derivative -1.2773756340212080E-16 ************************************************** W (in standard deviations) -5.0000 log(f(exp(W)|DFN,DFD)) -1.3353381160642240E+01 First Derivative 1.5687006828354986E+03 Second Derivative -9.8430330454784591E+04 log(F(exp(W)|DFN,DFD)) -1.4991528563040161E+01 First Derivative 1.6271822792622322E+03 Second Derivative -9.5160217368683618E+04 log(1 - F(exp(W)|DFN,DFD)) -3.0850480795234006E-07 First Derivative -5.0199363400026868E-04 Second Derivative -7.8747800843290350E-01 ************************************************** W (in standard deviations) -1.0000 log(f(exp(W)|DFN,DFD)) -1.4184152405841721E+00 First Derivative 3.1572750955392547E+02 Second Derivative -9.9683278804964721E+04 log(F(exp(W)|DFN,DFD)) -1.8386150368647001E+00 First Derivative 4.8138026466126428E+02 Second Derivative -7.9741967095404776E+04 log(1 - F(exp(W)|DFN,DFD)) -1.7320825112686775E-01 First Derivative -9.1035609490184896E+01 Second Derivative -3.7029928460309216E+04 ************************************************** W (in standard deviations) .0000 log(f(exp(W)|DFN,DFD)) -9.1893936653800623E-01 First Derivative 0.0000000000000000E+00 Second Derivative -9.9999000009999887E+04 log(F(exp(W)|DFN,DFD)) -6.9230650242381142E-01 First Derivative 2.5209975652245311E+02 Second Derivative -6.3554287238680139E+04 log(1 - F(exp(W)|DFN,DFD)) -6.9398856603049008E-01 First Derivative -2.5252416118590619E+02 Second Derivative -6.3768451982645536E+04 ************************************************** W (in standard deviations) 1.0000 log(f(exp(W)|DFN,DFD)) -1.4194693257587854E+00 First Derivative -3.1672749538722582E+02 Second Derivative -1.0031572116086904E+05 log(F(exp(W)|DFN,DFD)) -1.7229879471002413E-01 First Derivative 9.0857032663535662E+01 Second Derivative -3.7031920778259802E+04 log(1 - F(exp(W)|DFN,DFD)) -1.8434378808821992E+00 First Derivative -4.8319789374214463E+02 Second Derivative -8.0438145855512237E+04 ************************************************** W (in standard deviations) 5.0000 log(f(exp(W)|DFN,DFD)) -1.3485143388439630E+01 First Derivative -1.5937008286123375E+03 Second Derivative -1.0159266871092873E+05 log(F(exp(W)|DFN,DFD)) -2.6616767203435844E-07 First Derivative 4.4002219472741533E-04 Second Derivative -7.0126392996443299E-01 log(1 - F(exp(W)|DFN,DFD)) -1.5139139513839305E+01 First Derivative -1.6531764838503259E+03 Second Derivative -9.8323754601243796E+04 ************************************************** W (in standard deviations) 10.0000 log(f(exp(W)|DFN,DFD)) -5.1450424677515542E+01 First Derivative -3.2128002183875051E+03 Second Derivative -1.0321173494082740E+05 log(F(exp(W)|DFN,DFD)) -4.4079669225040087E-24 First Derivative 1.4300864755778362E-20 Second Derivative -4.5945821410494898E-17 log(1 - F(exp(W)|DFN,DFD)) -5.3778628664003783E+01 First Derivative -3.2443221573938777E+03 Second Derivative -1.0226732516210958E+05 ************************************************** W (in standard deviations) 50.0000 log(f(exp(W)|DFN,DFD)) -1.3194941035568984E+03 First Derivative -1.7129896079340295E+04 Second Derivative -1.1712852415180403E+05 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -1.3234866251404667E+03 First Derivative -1.7136728696331309E+04 Second Derivative -1.1708870366079902E+05 ************************************************** W (in standard deviations) 100.0000 log(f(exp(W)|DFN,DFD)) -5.5724315774511851E+03 First Derivative -3.7194085298251928E+04 Second Derivative -1.3719220309536988E+05 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -5.5771991238973296E+03 First Derivative -3.7197773215035355E+04 Second Derivative -1.3718229214529716E+05 ************************************************** W (in standard deviations) 500.0000 log(f(exp(W)|DFN,DFD)) -2.2793295533349103E+05 First Derivative -3.8603579344762996E+05 Second Derivative -4.8601217060460715E+05 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -2.2794006256439307E+05 First Derivative -3.8603705242482258E+05 Second Derivative -4.8601184443797549E+05 ************************************************** W (in standard deviations) 1000.0000 log(f(exp(W)|DFN,DFD)) -1.9460052020214386E+06 First Derivative -2.2619559378658822E+06 Second Derivative -2.3613980598594197E+06 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -1.9460140773046236E+06 First Derivative -2.2619569818282677E+06 Second Derivative -2.3613980134712262E+06 ++++++++++++++++++++++++++++++++++++++++++++++++++ ------------------ Values Used ------------------- A: 1.0000E+10 B: 1.0000E-03 Standard Deviation: 1000.0008 ************************************************** W (in standard deviations) -1000.0000 log(f(exp(W)|DFN,DFD)) -9.9997088766005220E+15 First Derivative 1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -9.9997088766005500E+15 First Derivative 1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -500.0000 log(f(exp(W)|DFN,DFD)) -4.9997047702692180E+15 First Derivative 1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -4.9997047702692440E+15 First Derivative 1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -100.0000 log(f(exp(W)|DFN,DFD)) -9.9970148520417475E+14 First Derivative 1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -9.9970148520420138E+14 First Derivative 1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -50.0000 log(f(exp(W)|DFN,DFD)) -4.9970107457104456E+14 First Derivative 1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -4.9970107457107106E+14 First Derivative 1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -10.0000 log(f(exp(W)|DFN,DFD)) -9.9700746064540281E+13 First Derivative 1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -9.9700746064566766E+13 First Derivative 1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -5.0000 log(f(exp(W)|DFN,DFD)) -4.9700705001227242E+13 First Derivative 1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -4.9700705001253727E+13 First Derivative 1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) -1.0000 log(f(exp(W)|DFN,DFD)) -9.7006721505768125E+12 First Derivative 1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -9.7006721506032910E+12 First Derivative 1.0000000000000000E+10 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) .0000 log(f(exp(W)|DFN,DFD)) -3.4612090011717673E+00 First Derivative 0.0000000000000000E+00 Second Derivative -9.9999999999990006E-04 log(F(exp(W)|DFN,DFD)) -5.0652467256504430E+00 First Derivative 1.5726233963832240E-01 Second Derivative -2.4731443468519066E-02 log(1 - F(exp(W)|DFN,DFD)) -6.3323604324269350E-03 First Derivative -9.9900149758729907E-04 Second Derivative -9.9800399218166664E-07 ************************************************** W (in standard deviations) 1.0000 log(f(exp(W)|DFN,DFD)) -4.4602098224380278E+00 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -4.5500833641501243E-01 First Derivative 5.7618652272421300E-04 Second Derivative -9.0817743169323307E-07 log(1 - F(exp(W)|DFN,DFD)) -1.0063321829470095E+00 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 5.0000 log(f(exp(W)|DFN,DFD)) -8.4602131075030709E+00 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -6.7179085931509501E-03 First Derivative 6.7405243562627843E-06 Second Derivative -6.7859590248601561E-09 log(1 - F(exp(W)|DFN,DFD)) -5.0063354680120522E+00 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 10.0000 log(f(exp(W)|DFN,DFD)) -1.3460217213834374E+01 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -4.5114041546987878E-05 First Derivative 4.5115059200663786E-08 Second Derivative -4.5117094569230463E-11 log(1 - F(exp(W)|DFN,DFD)) -1.0006339574343357E+01 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 50.0000 log(f(exp(W)|DFN,DFD)) -5.3460250064484811E+01 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -1.9164981123188562E-22 First Derivative 1.9164981123188426E-25 Second Derivative -1.9164981123188427E-28 log(1 - F(exp(W)|DFN,DFD)) -5.0006372424993785E+01 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 100.0000 log(f(exp(W)|DFN,DFD)) -1.0346029112779784E+02 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -3.6962936575782213E-44 First Derivative 3.6962936575781952E-47 Second Derivative -3.6962936575781953E-50 log(1 - F(exp(W)|DFN,DFD)) -1.0000641348830682E+02 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 500.0000 log(f(exp(W)|DFN,DFD)) -5.0346061963430219E+02 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) -7.0767041083030419-218 First Derivative 7.0767041083031931-221 Second Derivative -7.0767041083031929-224 log(1 - F(exp(W)|DFN,DFD)) -5.0000674199481119E+02 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ************************************************** W (in standard deviations) 1000.0000 log(f(exp(W)|DFN,DFD)) -1.0034610302674325E+03 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 log(F(exp(W)|DFN,DFD)) 0.0000000000000000E+00 First Derivative 0.0000000000000000E+00 Second Derivative 0.0000000000000000E+00 log(1 - F(exp(W)|DFN,DFD)) -1.0000071526279417E+03 First Derivative -1.0000000000000000E-03 Second Derivative 0.0000000000000000E+00 ++++++++++++++++++++++++++++++++++++++++++++++++++ ------------------ Values Used ------------------- A: 1.0000E+10 B: 1.0000E+01 Standard Deviation: .3243 ************************************************** W (in standard deviations) -1000.0000 log(f(exp(W)|DFN,DFD)) -3.0357032917790503E+12 First Derivative 1.0000000000000000E+10 Second Derivative -1.4490426205564323-122 log(F(exp(W)|DFN,DFD)) -3.0357032918009243E+12 First Derivative 1.0000000000000000E+10 Second Derivative -1.4490426204114855-122 log(1 - F(exp(W)|DFN