GAMHAZ
Name:
Type:
Purpose:
Compute the standard form of the gamma hazard function.
Description:
The standard form of the gamma distribution has the following
hazard function:
where is
the shape parameter and GAMPDF and GAMCDF are the probability
density and cumulative distribution functions of the gamma
distribution respectively.
Syntax:
LET <y> = GAMHAZ(<x>,<gamma>)
<SUBSET/EXCEPT/FOR qualification>
where <x> is a positive number, a number, or a variable;
<y> is a variable or a parameter (depending on what
<x> is) where the computed gamma hazard value
is saved;
<gamma> is a number or parameter that specifies the
shape parameter;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
LET A = GAMCDF(3,1.5)
LET X2 = GAMCDF(X1,GAMMA)
Note:
If
is 1, this
distribution reduces to the exponential distribution. If
is an integer, then this distribution is also known as an Erlang
distribution.
Default:
Synonyms:
Related Commands:
GAMCDF

= Compute the gamma cumulative distribution function.

GAMPDF

= Compute the gamma probability density function.

GAMPPF

= Compute the gamma percent point function.

GAMCHAZ

= Compute the gamma cumulative hazard function.

WEIPDF

= Compute the Weibull probability density function.

EXPPDF

= Compute the exponential probability density function.

CHSPDF

= Compute the chisquare probability density function.

IGAPDF

= Compute the inverted gamma probability density function.

GGDPDF

= Compute the generalized gamma probability density
function.

Reference:
"Continuous Univariate Distributions: Volume 1", 2nd. Ed.,
Johnson, Kotz, and Balakrishnan, John Wiley, 1994 (chapter 17).
"Statistical Distributions", 2nd. Edition, Evans, Hastings, and
Peacock, Wiley and Sons, 1993 (chapter 18).
Applications:
Implementation Date:
Program:
MULTIPLOT CORNER COORDINATES 5 5 95 95
MULTIPLOT 2 2
TITLE CASE ASIS
TITLE Gamma Hazard Function (Gamma = 1)
PLOT GAMHAZ(X,1) FOR X = 0.1 0.1 5.5
TITLE Gamma Hazard Function (Gamma = 0.5)
PLOT GAMHAZ(X,0.5) FOR X = 0.1 0.1 5.5
TITLE Gamma Hazard Function (Gamma = 2)
PLOT GAMHAZ(X,2) FOR X = 0.1 0.1 5.5
TITLE Gamma Hazard Function (Gamma = 5)
PLOT GAMHAZ(X,5) FOR X = 0.1 0.1 10
END OF MULTIPLOT
Date created: 10/9/2001
Last updated: 4/4/2003
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alan.heckert@nist.gov.
