IGACDF
Name:
Type:
Purpose:
Compute the the inverted gamma cumulative distribution
function.
Description:
The standard form of the generalized gamma distribution
has the following cumulative disribution function:
where
is the complete gamma function and
is the incomplete gamma function.
The inverted gamma is the special case where the second
shape parameter, c, is equal to 1.
Syntax:
Examples:
LET A = IGACDF(3,1.5)
LET Y = IGACDF(X,1.5)
LET Y = IGACDF(X,1.5,10,2)
PLOT IGACDF(X,1.5,10,2) FOR X = 5 0.1 15
Default:
Synonyms:
Related Commands:
IGAPDF

= Compute the inverted gamma probability density
function.

IGAPPF

= Compute the inverted gamma percent point function.

GGDCDF

= Compute the generalized gamma cumulative distribution
function.

GGDPDF

= Compute the generalized gamma probability density
function.

GGDPPF

= Compute the generalized gamma percent point function.

GAMCDF

= Compute the gamma cumulative distribution function.

GAMPDF

= Compute the gamma probability density function.

GAMPPF

= Compute the gamma percent point function.

WEICDF

= Compute the Weibull cumulative distribution function.

WEIPDF

= Compute the Weibull probability density function.

WEIPPF

= Compute the Weibull percent point function.

EXPCDF

= Compute the exponential cumulative distribution
function.

EXPPDF

= Compute the exponential probability density function.

EXPPPF

= Compute the exponential percent point function.

CHSCDF

= Compute the chisquare cumulative distribution
function.

CHSPDF

= Compute the chisquare probability density function.

CHSPPF

= Compute the chisquare percent point function.

Reference:
"Continuous Univariate Distributions", 2nd. ed., Johnson, Kotz,
and Balakrishnan, John Wiley and Sons, 1994 (chapter 17).
"Statistical Distributions", 2nd. Edition, Evans, Hastings, and
Peacock, Wiley and Sons, 1993 (chapter 18).
Applications:
Implementation Date:
Program:
LET G = DATA 0.5 1 2 5
.
MULTIPLOT 2 2
MULTIPLOT CORNER COORDINATES 0 0 100 100
TITLE AUTOMATIC
LOOP FOR K = 1 1 4
LET G1 = G(K)
X1LABEL GAMMA = ^G1
PLOT IGACDF(X,G1) FOR X = 0.1 0.1 10
END OF LOOP
END OF MULTIPLOT
Date created: 6/5/2001
Last updated: 4/4/2003
Please email comments on this WWW page to
alan.heckert@nist.gov.
