LDECDF

LDECDF (LET)

Library Function

Compute the standard form of the log double exponential (also known as the log Laplace distribution) cumulative distribution function.

The standard form of the log double exponential distribution has the following cumulative distribution function:
The input value can be any real number.

LET <y> = LDECDF(<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 cdf 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.

LET A = LDECDF(3,2)
LET A = LDECDF(A1,1.5)
LET X2 = LDECDF(X1,0.5)

The general form of the log double exponential distribution is:

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

None

None

LDEPDF	= Compute the double exponential probability density function.
LDEPPF	= Compute the double exponential percent point function.
DEXPDF	= Compute the double exponential cumulative distribution function.
EXPPDF	= Compute the exponential cumulative distribution function.
WEIPDF	= Compute the Weibull cumulative distribution function.
EV1PDF	= Compute the extreme value type I cumulative distribution function.
CHSPDF	= Compute the chi-square cumulative distribution function.

"Continuous Univariate Distributions: Volume 2", 2nd Ed., Johnson, Kotz, and Balakrishnan, John Wiley, 1994, page 192.

Distributional Modeling

2001/10

    MULTIPLOT 2 2 
    MULTIPLOT CORNER COORDINATES 5 5 95 95 
    TITLE AUTOMATIC 
    PLOT LDECDF(X,0.5)  FOR X = 0.01 0.01 5 
    PLOT LDECDF(X,1)  FOR X = 0.01 0.01 5 
    PLOT LDECDF(X,2)  FOR X = 0.01 0.01 5 
    PLOT LDECDF(X,5)  FOR X = 0.01 0.01 5 
    END OF MULTIPLOT