Dataplot Vol 2 Vol 1

# RAYPPF

Name:
RAYPPF (LET)
Type:
Library Function
Purpose:
Compute the Rayleigh percent point function.
Description:
The Rayleigh distribution is a special case of the distribution with degrees of freedom parameter = 2 and scale parameter . It is also a special case of the Weibull distribution with shape parameter = 2 and scale parameter = . Note that some sources may define the Rayleigh distribution as a Weibull with shape parameter = 2 and scale parameter = .

The Rayleigh distribution has the following percent point function:

with and denoting the location and scale parameters, respectively.

The standard Rayleigh distribution is the case with = 0 and = 1.

Syntax:
LET <y> = RAYPPF(<p>,<loc>,<scale>)
<SUBSET/EXCEPT/FOR qualification>
where <p> is a variable,number, or a parameter in the interval [0,1);
<loc> is an optional number or parameter that specifies the value of the location parameter;
<scale> is an optional positive number or parameter that specifies the value of the scale parameter;
<y> is a variable or a parameter (depending on what <x> is) where the computed Rayleigh ppf value is stored;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
LET Y = RAYPPF(0.95)
LET Y = RAYPPF(P1,0,SIGMA)
PLOT RAYPPF(P,0,SIGMA) FOR P = 0 0.01 0.99
Default:
None
Synonyms:
None
Related Commands:
 RAYCDF = Compute the Rayleigh cumulative distribution function. RAYPDF = Compute the Rayleigh probability density function. MAXPDF = Compute the Maxwell cumulative distribution function. CHPDF = Compute the chi probability density function. WEIPDF = Compute the Weibull probability density function. NORPDF = Compute the normal probability density function. LGNPDF = Compute the lognormal probability density function.
Reference:
"Continuous Univariate Distributions: Volume I", Second Edition, Johnson, Kotz, and Balakrishnan, Wiley, 1994, pp. 453, 686.
Applications:
Distributional Modeling
Implementation Date:
6/2004
Program:
```
X1LABEL Probability
Y1LABEL X
TITLE Rayleigh Percent Point
LABEL CASE ASIS
TITLE CASE ASIS
PLOT RAYPPF(P) FOR P = 0  0.01  0.99
```

Date created: 7/7/2004
Last updated: 7/7/2004
Please email comments on this WWW page to alan.heckert@nist.gov.