
SEMPPFName:
The formula for the cumulative distribution function is:
with and r denoting the location and scale parameters, respectively. The percent point function is computed by numerically inverting the cumulative distribution function. The case where = 0 and r = 1 is referred to as the standard semicircular distribution.
<SUBSET/EXCEPT/FOR qualification> where <p> is a variable, number, or parameter in the interval (0,1); <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 <p> is) where the computed semicircular ppf 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 = SEMPPF(0.99,0,5) LET X2 = SEMPPF(X1)
Filliben (1969), Simple and Robust Linear Estimation of the Location Parameter of a Symmetric Distribution, unpublished Ph.d dissertation, Princeton University, (pp. 2144, 229231).
2006/10: Implemented for the general case XLIMITS 0 1 MAJOR XTIC NUMBER 6 MINOR XTIC NUMBER 1 XTIC DECIMAL 1 YLIMITS 1 1 YTIC OFFSET 0.1 0.1 TITLE AUTOMATIC PLOT SEMPPF(X) FOR X = 0.01 .01 0.99
Date created: 1/8/2008 