 Dataplot Vol 2 Vol 1

# PNRPPF

Name:
PNRPPF (LET)
Type:
Library Function
Purpose:
Compute the power-normal percent point function.
Description:
The standard power-normal distribution has the following percent point function: where p is the shape (power) parameter and is the percent point function of the standard normal distribution. The input value is a real number between 0 and 1 (since it corresponds to a probability).

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

Syntax:
LET <y2> = PNRPPF(<y1>,<p>)        <SUBSET/EXCEPT/FOR qualification>
where <y1> is a number, parameter, or variable in the range 0 to 1;
<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 ppf value is stored;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
LET A = PNRPPF(0.9,2)
LET X2 = PNRPPF(X1,P)
LET X2 = PNRPPF(X1,0.5)
Note:
The general power-normal distribution has the following percent point function: where and are the location and scale parameters, respectively.

Default:
None
Synonyms:
None
Related Commands:
 PNRCDF = Compute the power-normal cumulative density function. PNRPDF = Compute the power-normal probability density function. PNRHAZ = Compute the power-normal hazard function. PNRCHAZ = Compute the power-normal cumulative hazard function. PLNPDF = Compute the power-lognormal probability density function. LGNPDF = Compute the lognormal probability density function. HFNPDF = Compute the half-normal probability density function. NORPDF = Compute the normal probability density 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 Probabiulity
Y1LABEL X
YLIMITS -5 10
TITLE CASE ASIS
TITLE Power Normal PPF Plot CR() ...
SD=1, P=10000, 3000, 1000, 300, 100, 50, 20, 5, 1, 0.5, 0.2 0.1
.
PLOT PNRPPF(F,10000) FOR F = 0.01 0.01 0.99 AND
PLOT PNRPPF(F,3000) FOR F = 0.01 0.01 0.99 AND
PLOT PNRPPF(F,1000) FOR F = 0.01 0.01 0.99 AND
PLOT PNRPPF(F,300) FOR F = 0.01 0.01 0.99 AND
PLOT PNRPPF(F,100) FOR F = 0.01 0.01 0.99 AND
PLOT PNRPPF(F,50) FOR F = 0.01 0.01 0.99 AND
PLOT PNRPPF(F,20) FOR F = 0.01 0.01 0.99 AND
PLOT PNRPPF(F,5) FOR F = 0.01 0.01 0.99 AND
PLOT PNRPPF(F,1) FOR F = 0.01 0.01 0.99 AND
PLOT PNRPPF(F,0.5) FOR F = 0.01 0.01 0.99 AND
PLOT PNRPPF(F,0.2) FOR F = 0.01 0.01 0.99 AND
PLOT PNRPPF(F,0.1) FOR F = 0.01 0.01 0.99
``` Date created: 11/13/2002
Last updated: 4/4/2003