Dataplot Vol 2 Vol 1

# LCTPPF

Name:
LCTPPF (LET)
Type:
Library Function
Purpose:
Compute the leads in coin tossing percent point function.
Description:
The formula for the leads in coin tossing probability mass function is

with n a non-negative integer denoting the shape 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> = LCTPPF(<p>,<n>)             <SUBSET/EXCEPT/FOR qualification>
where <p> is a variable, a number, or a parameter in the interval (0,1);
<n> is a number or parameter that defines the upper limit of the leads in coin tossing 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 = LCTPPF(0.95,20)
LET Y = LCTPPF(P,100)
Default:
None
Synonyms:
None
Related Commands:
 LCTCDF = Compute the leads in coin tossing cumulative distribution function. LCTPDF = Compute the leads in coin tossing probability mass function. DISPDF = Compute the discrete uniform probability mass function. MATPDF = Compute the matching 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. 274-275.

Feller (1957), "Introduction to Probability Theory", Third Edition, John Wiley and Sons, pp. 78-84.

Applications:
Distributional Modeling
Implementation Date:
2006/6
Program:
```
TITLE CASE ASIS
TITLE Leads in Coin Tossing Percent Point Function CR() ...
(N = 50)
LABEL CASE ASIS
X1LABEL Probability
Y1LABEL X
TIC OFFSET UNITS SCREEN
TIC OFFSET 3 3
PLOT LCTPPF(P,50) FOR P = 0  0.01  1
```

Date created: 6/20/2006
Last updated: 6/20/2006