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SEMCDFName:
The formula for the cumulative distribution function is:
with and r denoting the location and scale parameters, respectively. The case where = 0 and r = 1 is referred to as the standard semi-circular distribution.
<SUBSET/EXCEPT/FOR qualification> where <x> is a variable, number, or parameter; <mu> is a variable, number, or parameter that specifies the location parameter; <r> is a variable, number, or parameter that specifies the scale parameter; <y> is a variable or a parameter (depending on what <x> is) where the computed semi-circular cdf value is stored; and where the <SUBSET/EXCEPT/FOR qualification> is optional. If <mu> and <r> are omitted, they default to 0 and 1, respectively.
LET A = SEMCDF(0.5,0,5) LET X2 = SEMCDF(X1)
Filliben (1969), Simple and Robust Linear Estimation of the Location Parameter of a Symmetric Distribution, unpublished Ph.d dissertation, Princeton University, (pp. 21-44, 229-231).
2006/10: Implemented for the general case YLIMITS 0 1 MAJOR YTIC NUMBER 6 MINOR YTIC NUMBER 1 YTIC DECIMAL 1 XLIMITS -1 1 XTIC OFFSET 0.1 0.1 TITLE AUTOMATIC PLOT SEMCDF(X) FOR X = -1 0.01 1
Date created: 1/8/2008 |