SED navigation bar go to SED home page go to Dataplot home page go to NIST home page SED Home Page SED Staff SED Projects SED Products and Publications Search SED Pages
Dataplot Vol 2 Vol 1

WALHAZ

Name:
    WALHAZ (LET)
Type:
    Library Function
Purpose:
    Compute the Wald hazard function with shape parameter gamma.
Description:
    The Wald distribution has the following hazard function:

      h(x) = WALPDF(x,gamma)/(1 - WALCDF(x,gamma)) x >= 0, gamma > 0

    where gamma is the shape parameter and WALPDF and WALCDF are the probability density and cumulative distribution functions of the Wald distribution function respectively.

Syntax:
    LET <y> = WALHAZ(<x>,GAMMA)             <SUBSET/EXCEPT/FOR qualification>
    where <x> is a variable or a parameter containing positive values;
                  <y> is a variable or a parameter (depending on what <x> is) where the computed Wald hazard values are 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 = WALHAZ(3,10)
    LET A = WALHAZ(A1,10)
    LET X2 = WALHAZ(X1,10)
Default:
    None
Synonyms:
    None
Related Commands:
    WALCDF = Compute the Wald cumulative distribution function.
    WALPDF = Compute the Wald probability density function.
    WALPPF = Compute the Wald percent point function.
    WALCHAZ = Compute the Wald cumulative hazard function.
    CHSPDF = Compute the chi-square probability density function.
    FPDF = Compute the F probability density function.
    NORPDF = Compute the normal probability density function.
    TPDF = Compute the T probability density function.
    WEIPDF = Compute the Weibull probability density function.
    FLPDF = Compute the Fatigue Life probability density function.
    IGPDF = Compute the Inverse Gaussian probability density function.
    RIGPDF = Compute the Reciprocal Inverse Gaussian probability density function.
Reference:
    "Continuous Univariate Distributions: Volume 1", 2nd. Ed., Johnson, Kotz, and Balakrishnan, John Wiley, 1994.
Applications:
    Reliability Analysis
Implementation Date:
    1998/4
Program:
    TITLE AUTOMATIC 
    MULTIPLOT CORNER COORDINATES 5 5 95 95 
    MULTIPLOT 2 2 
    PLOT WALHAZ(X,1) FOR X = 0.01 0.01 3 AND 
    PLOT WALHAZ(X,2) FOR X = 0.5 0.01 2 AND 
    PLOT WALHAZ(X,3) FOR X = 0.7 0.01 1.3 AND 
    PLOT WALHAZ(X,0.5) FOR X = 0.1 0.01 3 
    END OF MULTIPLOT 
        
    plot generated by sample program

Date created: 11/13/2002
Last updated: 4/4/2003
Please email comments on this WWW page to alan.heckert@nist.gov.