MATPPF
Name:
Type:
Purpose:
Compute the classical matching percent point function.
Description:
The classical matching distribution has the following
probability mass function:
with k a nonnegative integer denoting the number of
items parameter.
The cumulative distribution function is computed by summing
the probability mass function. The percent point function
is the inverse of the cumulative distribution function and
is obtained by computing the cumulative distribution function
until the specified probability is reached.
Syntax:
LET <y> = MATPPF(<P>,<k>)
<SUBSET/EXCEPT/FOR qualification>
where <P> is a variable, a number, or a parameter containing
values in the interval (0,1);
<k> is a number or parameter that defines the upper
limit of the matching distribution;
<y> is a variable or a parameter (depending on what
<p> is) where the computed ppf value is stored;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
LET A = MATPPF(0.95,20)
LET Y = MATPPF(X,100)
Note:
For sufficiently large values of k, the classical
matching distribution can be accurately approximated with a
Poisson distribution with
= 1.
Dataplot computes MATPPF from the above definition for values
of k < 20. For values of k ≥ 20, Dataplot
computes MATPPF using the Poisson pdf with
= 1.
Default:
Synonyms:
Related Commands:
MATCDF

= Compute the matching cumulative distribution function.

MATPDF

= Compute the matching probability mass function.

POIPDF

= Compute the Poisson probability density function.

LCTPDF

= Compute the leads in coin tossing probability mass
function.

DISPDF

= Compute the discrete uniform probability mass function.

LOSPDF

= Compute the lost games probability mass function.

ARSPDF

= Compute the arcsine probability density function.

BETPDF

= Compute the beta probability density function.

UNIPDF

= Compute the uniform probability mass function.

Reference:
Johnson, Kotz, and Kemp (1992), "Univariate Discrete
Distributions", Second Edition, Wiley, pp. 409410.
Feller (1957), "Introduction to Probability Theory",
Third Edition, John Wiley and Sons, pp. 107109.
Applications:
Implementation Date:
Program:
TITLE CASE ASIS
TITLE Matching Percent Point Function CR() ...
(N = 50)
LABEL CASE ASIS
X1LABEL Probability
Y1LABEL X
LINE BLANK
SPIKE ON
TIC OFFSET UNITS SCREEN
TIC OFFSET 3 3
PLOT MATPPF(P,50) FOR P = 0 0.01 1
Date created: 6/20/2006
Last updated: 6/20/2006
Please email comments on this WWW page to
alan.heckert@nist.gov.
