 Dataplot Vol 2 Vol 1

# PNRCDF

Name:
PNRCDF (LET)
Type:
Library Function
Purpose:
Compute the standard power-normal cumulative distribution function.
Description:
The standard power-normal distribution has the following cumulative distribution function: where p is the shape (power) parameter, and and are the cumulative distribution function and the probability density function for the standard normal distribution respectively.

If p is 1, this distribution reduces to the normal distribution.

Syntax:
LET <y2> = PNRCDF(<y1>,<p>)        <SUBSET/EXCEPT/FOR qualification>
where <y1> is a number, parameter, or variable;
<p> is a positive number, parameter, or variable that specifies the power parameter;
<y2> is a variable or a parameter (depending on what <y1> is) where the computed power-normal cdf value is stored;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
LET A = PNRCDF(3,2)
LET X2 = PNRCDF(X1,POW)
LET X2 = PNRCDF(X1,0.5)
Note:
The general power-normal distribution has the following cumulative distribution function: where and are the location and scale parameters, respectively.

Default:
None
Synonyms:
None
Related Commands:
 PNRPDF = Compute the power-normal probability density function. PNRPPF = Compute the power-normal percent point function. PNRHAZ = Compute the power-normal hazard function. PNRCHAZ = Compute the power-normal cumulative hazard function. PLNCDF = Compute the power-lognormal cumulative distribution function. PLNPDF = Compute the power-lognormal probability density function. PLNPPF = Compute the power-lognormal percent point function. LGNCDF = Compute the lognormal cumulative distribution function. LGNPDF = Compute the lognormal probability density function. LGNPPF = Compute the lognormal percent point function. NORCDF = Compute the normal cumulative distribution function. NORPDF = Compute the normal probability density function. NORPPF = Compute the normal percent point function.
Reference:
"A Computer Program POWNOR for Fitting the Power-Normal and -Lognormal Models to Life or Strength Data from Specimens of Various Sizes", Nelson and Doganaksoy, NIST-IR 4760, March 1992.
Applications:
Reliability
Implementation Date:
1995/5
Program:
```LABEL CASE ASIS
X1LABEL X
YLIMITS 0  1
Y1LABEL Probability
MAJOR YTIC MARK NUMBER 6
TITLE CASE ASIS
TITLE Power Normal PDF Plot CR() ...
SD=1, P=10000, 3000, 1000, 300, 100, 50, 20, 5, 1, 0.5, 0.2 0.1
.
PLOT PNRCDF(X,10000) FOR X = -5 .05 5 AND
PLOT PNRCDF(X,3000) FOR X = -5 .05 5 AND
PLOT PNRCDF(X,1000) FOR X = -5 .05 5 AND
PLOT PNRCDF(X,300) FOR X = -5 .05 5 AND
PLOT PNRCDF(X,100) FOR X = -5 .05 5 AND
PLOT PNRCDF(X,50) FOR X = -5 .05 5 AND
PLOT PNRCDF(X,20) FOR X = -5 .05 5 AND
PLOT PNRCDF(X,5) FOR X = -5 .05 5 AND
PLOT PNRCDF(X,1) FOR X = -5 .05 5 AND
PLOT PNRCDF(X,0.5) FOR X = -5 .05 5 AND
PLOT PNRCDF(X,0.2) FOR X = -5 .05 5 AND
PLOT PNRCDF(X,0.1) FOR X = -5 .05 5
``` Date created: 11/13/2002
Last updated: 4/4/2003