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LBECDFName:
with and denoting the shape parameters of the underlying beta distribution, c and d denoting the lower and upper limits of the log beta distribution, BETCDF denoting the beta cumulative distribution function, and where
The log beta distribution can be generalized with location and scale parameters in the usual way.
<SUBSET/EXCEPT/FOR qualification> where <x> is a number, parameter, or variable; <alpha> is a number, parameter, or variable that specifies the first shape parameter; <beta> is a number, parameter, or variable that specifies the second shape parameter; <c> is a number, parameter, or variable that specifies the third shape parameter; <d> is a number, parameter, or variable that specifies the fourth shape parameter; <loc> is a number, parameter, or variable that specifies the optional location parameter; <scale> is a number, parameter, or variable that specifies the optional scale parameter; <y> is a variable or a parameter (depending on what <x> is) where the computed log beta cdf value is stored; and where the <SUBSET/EXCEPT/FOR qualification> is optional. The location and scale parameters are optional (the default values are zero and one, respectively).
LET Y = LBECDF(X,ALPHA,BETA,C,D) PLOT LBECDF(X,6,6,1,3) FOR X = 1.01 0.01 2.99
title displacement 2 y1label displacement 17 x1label displacement 12 case asis title case asis label case asis y1label Probability x1label X . let c = 1 let d = 3 . multiplot corner coordinates 0 0 100 95 multiplot scale factor 2 multiplot 2 2 . title Alpha = 3, Beta = 3 plot lbecdf(x,3,3,c,d) for x = 1.01 0.01 2.99 . title Alpha = 5, Beta = 2 plot lbecdf(x,5,2,c,d) for x = 1.01 0.01 2.99 . title Alpha = 2, Beta = 5 plot lbecdf(x,2,5,c,d) for x = 1.01 0.01 2.99 . title Alpha = 5, Beta = 1 plot lbecdf(x,5,1,c,d) for x = 1.01 0.01 2.99 . end of multiplot . justification center move 50 97 text Log Beta Cumulative Distribution Functions
Date created: 8/23/2006 |