
GLSPPFName:
with and denoting the shape parameters. The cumulative distribution function is computed using the following recurrence relation given on pages 228229 of Consul and Famoye:
with
The percent point function is computed by summing the above recurence relation until the the specified probability is obtained.
<SUBSET/EXCEPT/FOR qualification> where <p> is a positive integer variable, number, or parameter in the range (0,1); <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 ppf value is stored; and where the <SUBSET/EXCEPT/FOR qualification> is optional.
LET Y = GLSPPF(P,0.3,1.6) PLOT GLSPPF(P,0.3,1.6) FOR P = 0 0.01 0.99
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 x1label Probability y1label X . xlimits 0 1 major xtic mark number 6 minor xtic mark number 3 . multiplot 2 2 . title Theta = 0.3, Beta = 1.8 plot glsppf(p,0.3,1.8) for p = 0 0.01 0.99 . title Theta = 0.5, Beta = 1.5 plot glsppf(p,0.5,1.5) for p = 0 0.01 0.99 . title Theta = 0.7, Beta = 1.2 plot glsppf(p,0.7,1.2) for p = 0 0.01 0.99 . title Theta = 0.9, Beta = 1.1 plot glsppf(p,0.9,1.1) for p = 0 0.01 0.99 . end of multiplot . justification center move 50 97 text Percent Points for Generalized Logarithmic Series
Date created: 8/23/2006 