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Dataplot Vol 2 Vol 1

GEECDF

Name:
    GEECDF (LET)
Type:
    Library Function
Purpose:
    Compute the standard form of the geometric extreme exponential cumulative distribution function with tail length parameter gamma.
Description:
    The standard form of the geometric extreme exponential cumualtive distribution function is:

      F(x) = 1 - gamma/[EXP(x) + gamma - 1] x >= 0; gamma > 0
Syntax:
    LET <y2> = GEECDF(<y1>,GAMMA)             <SUBSET/EXCEPT/FOR qualification>
    where <y1> is a variable, number, or parameter;
                <y2> is a variable or a parameter (depending on what <y1> is) where the computed geometric extreme exponential cdf value is stored;
                <GAMMA> is a positive number or parameter that specifies the shape parameter;
    and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
    LET A = GEECDF(3,2)
    LET A = GEECDF(A1,4)
    LET X2 = GEECDF(X1,8)
Default:
    None
Synonyms:
    None
Related Commands:
    GEECHAZ = Compute the geometric extreme exponential cumulative hazard function.
    GEEHAZ = Compute the geometric extreme exponential hazard function.
    GEEPDF = Compute the geometric extreme exponential probability denisty function.
    GEEPPF = Compute the geometric extreme exponential percent point function.
    IWEPDF = Compute the inverted Weibull probability density function.
    WEIPDF = Compute the Weibull probability density function.
    GAMPDF = Compute the gamma probability density function.
    CHSPDF = Compute the chi-square probability density function.
    NORPDF = Compute the normal probability density function.
    LGNPDF = Compute the lognormal probability density function.
    PPCC PLOT = Generate a PPCC plot.
    PROBABILITY PLOT = Generate a probability plot.
    RANDOM NUMBERS = Generate random numbers.
Reference:
    "Can Data Recognize Its Parent Distribution?", Marshall, Meza, Olkin, Journal Of Computational and Graphical Statistics, September, 2001, pp. 555-580.
Applications:
    Reliability Analysis
Implementation Date:
    2001/11
Program: 
    MULTIPOT 2 2 
MULTIPLOT CORNER COORDINATES 5 5 95 95 
MULTIPLOT SCALE FACTOR 2 
Y1LABEL Probability 
Y1LABEL DISPLACEMENT 12 
X1LABEL X 
TITLE GEECDF (GAMMA = 0.5) 
PLOT GEECDF(X,0.5) FOR X = 0.01 0.01 5 
TITLE GEECDF (GAMMA = 1) 
PLOT GEECDF(X,1) FOR X = 0.01 0.01 5 
TITLE GEECDF (GAMMA = 2) 
PLOT GEECDF(X,2) FOR X = 0.01 0.01 5 
TITLE GEECDF (GAMMA = 5) 
PLOT GEECDF(X,5) FOR X = 0.01 0.01 5 
END OF MULTIPLOT
    plot generated by sample program

Date created: 11/20/2001
Last updated: 4/4/2003
Please email comments on this WWW page to alan.heckert@nist.gov.