FLHAZ
Name:
Type:
Purpose:
Compute the Fatigue Life hazard function with shape parameter
.
Description:
The Fatigue Life distribution has the following hazard function:
where FLPDF is Fatigue Life probability density function, FLCDF
is the Fatigue Life cumulative distribution function, and
is the shape parameter.
Syntax:
LET <y> = FLHAZ(<x>,<gamma>)
<SUBSET/EXCEPT/FOR qualification>
where <x> is a nonnegative variable, parameter, or
number;
<y> is a variable or a parameter (depending on what
<x> is) where the computed Fatigue Life hazard
value is stored;
<gamma> is a positive number, parameter, or variable
that defines the shape parameter;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
LET A = FLHAZ(3,10)
LET A = FLHAZ(A1,3)
LET X2 = FLHAZ(X1,GAMMA)
Note:
The Fatigue Life distribution is symmetric and moderate tailed
for small gammas. It is highly skewed and long tailed for large
gamma. It approaches normality as gamma approaches zero.
Default:
Synonyms:
Related Commands:
FLCDF

= Compute the Fatigue Life cumulative distribution
function.

FLCHAZ

= Compute the Fatigue Life cumulative hazard function.

FLPDF

= Compute the Fatigue Life probability density function.

FLPPF

= Compute the Fatigue Life percent point function.

IGPDF

= Compute the Inverse Gaussian probability density
function.

RIGPDF

= Compute the Reciprocal Inverse Gaussian probability
density function.

WALPDF

= Compute the Wald probability density function.

CHSPDF

= Compute the chisquare probability density function.

NORPDF

= Compute the normal probability density function.

WEIPDF

= Compute the Weibull probability density function.

Reference:
"Continuous Univariate Distributions: Volume 2", Johnson, Kotz,
and Balakrishnan, John Wiley, 1994.
Applications:
Implementation Date:
Program:
MULTIPLOT CORNER COORDINATES 5 5 95 95
MULTIPLOT 2 2
TITLE CASE ASIS
TITLE Fatigue Life Hazard (Gamma = 1)
PLOT FLHAZ(X,1) FOR X = 0.01 0.01 3
TITLE Fatigue Life Hazard (Gamma = 2)
PLOT FLHAZ(X,2) FOR X = 0.01 0.01 3
TITLE Fatigue Life Hazard (Gamma = 3)
PLOT FLHAZ(X,3) FOR X = 0.1 0.01 3
TITLE Fatigue Life Hazard (Gamma = 0.5)
PLOT FLHAZ(X,0.5) FOR X = 0.2 0.01 3
END OF MULTIPLOT
Date created: 11/13/2002
Last updated: 4/4/2003
Please email comments on this WWW page to
alan.heckert@nist.gov.
