
GL5CDFName:
The standard form of the Hosking generalized logistic distribution has the cumulative distribution function:
The general form of the Hosking generalized logistic cumulative distribution function can be obtained by replacing x in the above formula with (xloc)/scale.
<SUBSET/EXCEPT/FOR qualification> where <x> is a variable, number or parameter; <alpha> is a number or parameter that specifies the value of the first shape parameter; <loc> is a number or parameter that specifies the value of the location parameter; <scale> is a number or parameter that specifies the value of the scale parameter; <y> is a variable or a parameter (depending on what <x> is) where the computed generalized logistic type 5 cdf value is stored; and where the <SUBSET/EXCEPT/FOR qualification> is optional. The location and scale parameters are optional.
LET X2 = GL5CDF(X1,ALPHA) PLOT GL5CDF(X,2) FOR X = 5 0.01 0.5
LET A = DATA 1 0.75 0.5 0.25 0 0.25 0.5 0.75 1 MULTIPLOT 3 3 MULTIPLOT CORNER COORDINATES 0 0 100 95 MULTIPLOT SCALE FACTOR 3 LABEL CASE ASIS TITLE CASE ASIS TITLE DISPLACEMENT 2 X1LABEL X Y1LABEL Probability X1LABEL DISPLACEMENT 12 Y1LABEL DISPLACEMENT 15 . LOOP FOR K = 1 1 9 LET ALPHA = A(K) LET XSTART = 5 LET XSTOP = 5 IF ALPHA > 0 LET XSTOP = 1/ALPHA END OF IF IF ALPHA < 0 LET XSTART = 1/ALPHA END OF IF TITLE Alpha = ^ALPHA PLOT GL5CDF(X,ALPHA) FOR X = XSTART 0.01 XSTOP END OF LOOP END OF MULTIPLOT CASE ASIS MOVE 50 97 JUSTIFICATION CENTER TEXT Generalized Logistic Type 5 CDF's
Date created: 3/27/2006 