Summary
Weibull probability density function (PDF).Unit
Probabilities
Declaration
Procedure WeibullPDF(X: TDenseMtxVec; A, B: TSample; Res: TDenseMtxVec);
Description
Calculates the Weibull PDF for vector X using the parameters A and B. The results are stored in vector Res. The Res Length and Complex properties are adjusted automatically. If vector X is complex, an exception is raised.Declaration
Function WeibullPDF(x: TSample; a, b: TSample): TSample;
| Parameter | Description |
|---|---|
| x | Defines distribution parameter, valid on [0,INF) interval. |
| a | Defines distribution scale parameter. a must be a positive scalar. |
| b | Defines distribution shape parameter. b must be a positive scalar. |
Result
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. Parameters:
- a: (0,INF)
- b: (0,INF)
Categories
Continuous probabilities| See Also |
|---|
| WeibullCDF |
| WeibullCDFInv |
| Copyright 2008 Dew Research |