SLACDF
Name:
Type:
Purpose:
Compute the slash cumulative distribution function.
Description:
The standard slash distribution has the following
probability density function:
with
denoting the probability density function of the standard
normal distribution.
The slash cumulative distribution function is computed
by numerically integrating the slash probability density
function.
The most common use of the slash distribution is in
simulation studies. It is a useful distribution in this
context because it has heavier tails than a normal distribution,
but it is not as pathological as the Cauchy distribution.
Syntax:
LET <y> = SLACDF(<x>)
<SUBSET/EXCEPT/FOR qualification>
where <x> is a variable, a number, or a parameter;
<y> is a variable or a parameter (depending on what
<x> is) where the computed slash cdf value is
stored;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
LET A = SLACDF(3)
LET X2 = SLACDF(X1)
Note:
Dataplot uses the DQAGI routine from the Quadpack library
to perform the numerical integration.
Default:
Synonyms:
Related Commands:
SLAPDF

= Compute the slash probability density function.

SLAPPF

= Compute the slash percent point function.

NORPDF

= Compute the normal probability density function.

LOGPDF

= Compute the logistic probability density function.

CAUPDF

= Compute the Cauchy probability density function.

RANDOM NUMBERS

= Generate random numbers from 60+ univariate
distributions.

Reference:
"Continuous Univariate Distributions: Volume 1", 2nd. Ed.,
Johnson, Kotz, and Balakrishnan, John Wiley, 1994,
(page 63).
Applications:
Implementation Date:
Program:
TITLE SLASH CUMULATIVE DISTRIBUTION FUNCTION
PLOT SLACDF(X) FOR X = 10 0.01 10
Date created: 2/3/2004
Last updated: 2/3/2004
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alan.heckert@nist.gov.
