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Probabilities.WeibullPDF Function
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Weibull probability density function (PDF).

Pascal
function WeibullPDF(x: double; a: double; b: double): double; overload;
File
Parameters
Parameters 
Description 
x 
Function domain, zero or real positive value. 
a 
Distribution scale parameter, real positive value. 
b 
Distribution shape parameter, real positive value. 
Returns

the Weibull probability density function for value x using the parameters a and b. Parameters a and b must be positive numbers, otherwise the result is NAN.

Description

Calculates the Weibull probability density function, defined by the following equation: 

 

where I is the interval on which the inverse Weibull CDF is not zero. The Weibull distribution has been found to be useful in a variety of physical applications. It arises in the study of reliability. Reliability studies are concentrated with accessing whether or not a system functions adequately under the conditions for which it was designed.

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