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Dataplot Vol 2 Vol 1

LDEPDF

Name:
    LDEPDF (LET)
Type:
    Library Function
Purpose:
    Compute the standard form of the log double exponential (also known as the log Laplace distribution) probability density function.
Description:
    The standard form of the log double exponential distribution has the following probability density function:

      f(x) = (alpha/2)*x**(alpha-1)    0 < x < 1, alpha > 0;
 f(x) = (alpha/2)*x**(-alpha-1)   x >= 1, alpha > 0
Syntax:
    LET <y> = LDEPDF(<x>,<alpha>)
                            <SUBSET/EXCEPT/FOR qualification>
    where <x> is a variable, a number, or a parameter;
              <y> is a variable or a parameter (depending on what <x> is) where the computed log double exponential pdf value is saved;
              <alpha> is a variable, a number, or a parameter that specifies the shape parameter;
    and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
    LET A = LDEPDF(3,2)
    LET A = LDEPDF(A1,1.5)
    LET X2 = LDEPDF(X1,0.5)
Note:
    The general form of the log double exponential distribution is:

      f(x) = (alpha/(2*beta))*((x-u)/beta)**(alpha-1)  mu < x < mu + beta;
 f(x) = (alpha/(2*beta))*((x-u)/beta)**(-alpha-1)  x >= beta

    The parameter mu is a location parameter and the parameter beta is a positive scale parameter.

Default:
    None
Synonyms:
    None
Related Commands:
    LDECDF = Compute the double exponential cumulative distribution function.
    LDEPPF = Compute the double exponential percent point function.
    DEXPDF = Compute the double exponential probability density function.
    EXPPDF = Compute the exponential probability density function.
    WEIPDF = Compute the Weibull probability density function.
    EV1PDF = Compute the extreme value type I probability density function.
    CHSPDF = Compute the chi-square probability density function.
Reference:
    "Continuous Univariate Distributions: Volume 2", 2nd Ed., Johnson, Kotz, and Balakrishnan, John Wiley, 1994, page 192.
Applications:
    Distributional Modeling
Implementation Date:
    2001/10
Program:
        MULTIPLOT 2 2 
        MULTIPLOT CORNER COORDINATES 5 5 95 95 
        TITLE AUTOMATIC 
        PLOT LDEPDF(X,0.5)  FOR X = 0.01 0.01 5 
        PLOT LDEPDF(X,1)  FOR X = 0.01 0.01 5 
        PLOT LDEPDF(X,2)  FOR X = 0.01 0.01 5 
        PLOT LDEPDF(X,5)  FOR X = 0.01 0.01 5 
        END OF MULTIPLOT 
        
    plot generated by sample program

Date created: 10/9/2001
Last updated: 4/4/2003
Please email comments on this WWW page to alan.heckert@nist.gov.