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GLSCDFName:
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with The cumulative distribution function is computed using the following recurrence relation given on pages 228-229 of Consul and Famoye:
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<SUBSET/EXCEPT/FOR qualification> where <x> is a positive integer variable, number, or parameter; <theta> is a number, parameter, or variable in the range (0,1) that specifies the first shape parameter; <beta> is a number, parameter, or variable that specifies the second shape parameter; <y> is a variable or a parameter (depending on what <x> is) where the computed generalized logarithmic series cdf value is stored; and where the <SUBSET/EXCEPT/FOR qualification> is optional.
LET Y = GLSCDF(X,0.3,1.6) PLOT GLSCDF(X,0.3,1.6) FOR X = 1 1 20
title size 3 tic label size 3 label size 3 legend size 3 height 3 x1label displacement 12 y1label displacement 15 . multiplot corner coordinates 0 0 100 95 multiplot scale factor 2 label case asis title case asis case asis tic offset units screen tic offset 3 3 title displacement 2 y1label Probability x1label X . ylimits 0 1 major ytic mark number 6 minor ytic mark number 3 xlimits 0 20 line blank spike on . multiplot 2 2 . title Theta = 0.3, Beta = 1.8 plot glscdf(x,0.3,1.8) for x = 1 1 20 . title Theta = 0.5, Beta = 1.5 plot glscdf(x,0.5,1.5) for x = 1 1 20 . title Theta = 0.7, Beta = 1.2 plot glscdf(x,0.7,1.2) for x = 1 1 20 . title Theta = 0.9, Beta = 1.1 plot glscdf(x,0.9,1.1) for x = 1 1 20 . end of multiplot . justification center move 50 97 text Cumulative Distribution for Generalized Logarithmic Series ![]()
Date created: 8/23/2006 |