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Dataplot Vol 2 Vol 1

IWECHAZ

Name:
    IWECHAZ (LET)
Type:
    Library Function
Purpose:
    Compute the standard form of the inverted Weibull cumulative hazard function with tail length parameter gamma.
Description:
    The standard form of the inverted Weibull cumulative hazard function is:

      H(x) = -LOG{1-exp(-(x)**(-gamma))}    x, gamma > 0
Syntax:
    LET <y2> = IWECHAZ(<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 inverted Weibull cumulative hazard value is stored;
                <GAMMA> is a positive number or parameter that specifies the tail length parameter;
    and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
    LET A = IWECHAZ(3,2)
    LET A = IWECHAZ(A1,4)
    LET X2 = IWECHAZ(X1,8)
Note:
    The general form of the inverted Weibull cumulative hazard function is:

      H(x) = -LOG{1-EXP{-[(x-u)/beta]**(-gamma)}} x > mu; gamma > 0

    where mu is the location parameter and beta is the scale parameter.

Default:
    None
Synonyms:
    None
Related Commands:
    IWECDF = Compute the inverted Weibull cumulative distribution function.
    IWEHAZ = Compute the inverted Weibull hazard function.
    IWEPDF = Compute the inverted Weibull probability density function.
    IWEPPF = Compute the inverted Weibull percent point 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.
    LOGPDF = Compute the lognormal probability density function.
    PPCC PLOT = Generate a PPCC plot.
    PROB PLOT = Generate a probability plot.
    RAND NUMB = Generate random numbers.
Reference:
    "Continuous Univariate Distributions: Volume 1", 2nd. Ed., Johnson, Kotz, and Balakrishnan, 1994, John Wiley, pp. 693.
Applications:
    Reliability Analysis
Implementation Date:
    2001/10
Program:
        MULTIPOT 2 2 
        MULTIPLOT CORNER COORDINATES 5 5 95 95 
        MULTIPLOT SCALE FACTOR 2 
        Y1LABEL Hazard 
        Y1LABEL DISPLACEMENT 12 
        X1LABEL X 
        TITLE IWECHAZ (GAMMA = 0.5) 
        PLOT IWECHAZ(X,0.5) FOR X = 0.01 0.01 5 
        TITLE IWECHAZ (GAMMA = 1) 
        PLOT IWECHAZ(X,1) FOR X = 0.01 0.01 5 
        TITLE IWECHAZ (GAMMA = 2) 
        PLOT IWECHAZ(X,2) FOR X = 0.01 0.01 5 
        TITLE IWECHAZ (GAMMA = 5) 
        PLOT IWECHAZ(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.