
TOPCDFName:
with denoting the shape parameter. This distribution can be extended with lower and upper bound parameters. If a and b denote the lower and upper bounds, respectively, then the location and scale parameters are:
scale = b  a The general form of the distribution can then be found by using the relation
<SUBSET/EXCEPT/FOR qualification> where <x> is a number, parameter, or variable containing values in the interval (a,b); <y> is a variable or a parameter (depending on what <x> is) where the computed Topp and Leone cdf value is stored; <beta> is a positive number, parameter, or variable that specifies the shape parameter; <a> is a number, parameter, or variable that specifies the lower limit; <b> is a number, parameter, or variable that specifies the upper limit; and where the <SUBSET/EXCEPT/FOR qualification> is optional. If a and b are omitted, they default to 0 and 1, respectively.
LET Y = TOPCDF(X,0.5,0,5) PLOT TOPCDF(X,2,0,3) FOR X = 0 0.01 3
LABEL CASE ASIS TITLE CASE ASIS TITLE OFFSET 2 . MULTIPLOT 2 2 MULTIPLOT CORNER COORDINATES 0 0 100 95 MULTIPLOT SCALE FACTOR . LET BETA = 0.5 TITLE Beta = ^beta PLOT TOPCDF(X,BETA) FOR X = 0 0.01 1 . LET BETA = 1 TITLE Beta = ^beta PLOT TOPCDF(X,BETA) FOR X = 0 0.01 1 . LET BETA = 1.5 TITLE Beta = ^beta PLOT TOPCDF(X,BETA) FOR X = 0 0.01 1 . LET BETA = 2 TITLE Beta = ^beta PLOT TOPCDF(X,BETA) FOR X = 0 0.01 1 . END OF MULTIPLOT . JUSTIFICATION CENTER MOVE 50 97 TEXT TOPP AND LEONE CDF FUNCTIONS
Date created: 9/10/2007 