TRACDF

TRACDF (LET)

Library Function

Compute the trapezoidal cumulative distribution function.

The trapezoidal distribution has the following cumulative distribution function:

LET <y> = TRACDF(<x>,<a>,<b>,<c> <d>)
                        <SUBSET/EXCEPT/FOR qualification>
where <x> is a variable, number, or parameter containing values in the interval (a,d);
            <a> is a number, parameter, or variable that specifies the first shape parameter;
            <b> is a number, parameter, or variable that specifies the second shape parameter;
            <c> is a number, parameter, or variable that specifies the third shape parameter;
            <d> is a number, parameter, or variable that specifies the fourth shape parameter;
            <y> is a variable or a parameter (depending on what <x> is) where the computed cdf value is stored;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.

LET A = TRACDF(0.5,0,0.25,0.75,1)
LET A = TRACDF(0.5,A,B,C,D)

None

None

TRAPDF	= Compute the trapezoidal probability density function.
TRAPPF	= Compute the trapezoidal percent point function.
TRIPDF	= Compute the triangular probability density function.
UNIPDF	= Compute the uniform probability density function.
SEMPDF	= Compute the semi-circular probability density function.
NORPDF	= Compute the normal probability density function.

"Generalized Trapezoidal Distributions", van Dorp and Kotz, Metrika, Vol. 58, Issue 1, July, 2003.

Distributional Modeling

2004/1

 
TITLE TRAPEZOIDAL DISTRIBUTION
LET A = 0
LET B = 1
LET C = 5
LET D = 10
PLOT TRACDF(X,A,B,C,D) FOR X = A 0.1 10