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Dataplot Vol 2 Vol 1

FLHAZ

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

      h(x,gamma) = FLPDF(x,gamma)/(1 - FLCDF(x,gamma) x >= 0, gamma > 0

    where FLPDF is Fatigue Life probability density function, FLCDF is the Fatigue Life cumulative distribution function, and gamma is the shape parameter.

Syntax:
    LET <y> = FLHAZ(<x>,<gamma>)               <SUBSET/EXCEPT/FOR qualification>
    where <x> is a non-negative variable, parameter, or number;
                  <y> is a variable or a parameter (depending on what <x> is) where the computed Fatigue Life hazard value is stored;
                  <gamma> is a positive number, parameter, or variable that defines the shape parameter;
    and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
    LET A = FLHAZ(3,10)
    LET A = FLHAZ(A1,3)
    LET X2 = FLHAZ(X1,GAMMA)
Note:
    The Fatigue Life distribution is symmetric and moderate tailed for small gammas. It is highly skewed and long tailed for large gamma. It approaches normality as gamma approaches zero.
Default:
    None
Synonyms:
    None
Related Commands:
    FLCDF = Compute the Fatigue Life cumulative distribution function.
    FLCHAZ = Compute the Fatigue Life cumulative hazard function.
    FLPDF = Compute the Fatigue Life probability density function.
    FLPPF = Compute the Fatigue Life percent point function.
    IGPDF = Compute the Inverse Gaussian probability density function.
    RIGPDF = Compute the Reciprocal Inverse Gaussian probability density function.
    WALPDF = Compute the Wald probability density function.
    CHSPDF = Compute the chi-square probability density function.
    NORPDF = Compute the normal probability density function.
    WEIPDF = Compute the Weibull probability density function.
Reference:
    "Continuous Univariate Distributions: Volume 2", Johnson, Kotz, and Balakrishnan, John Wiley, 1994.
Applications:
    Reliability
Implementation Date:
    1998/4
Program: 
    MULTIPLOT CORNER COORDINATES 5 5 95 95  
MULTIPLOT 2 2  
TITLE CASE ASIS  
TITLE Fatigue Life Hazard (Gamma = 1)  
PLOT FLHAZ(X,1) FOR X = 0.01 0.01 3 
TITLE Fatigue Life Hazard (Gamma = 2)  
PLOT FLHAZ(X,2) FOR X = 0.01 0.01 3 
TITLE Fatigue Life Hazard (Gamma = 3)  
PLOT FLHAZ(X,3) FOR X = 0.1 0.01 3 
TITLE Fatigue Life Hazard (Gamma = 0.5)  
PLOT FLHAZ(X,0.5) FOR X = 0.2 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.