weibpdf (Statistics Toolbox)

Weibull probability density function (pdf)

Syntax

```
Y = weibpdf(X,A,B)
```

Description

Y = weibpdf(X,A,B) computes the Weibull pdf at each of the values in X using the corresponding parameters in A and B. Vector or matrix inputs for X, A, and B must all have the same size. A scalar input is expanded to a constant matrix with the same dimensions as the other input. The parameters in A and B must all be positive.

The Weibull pdf is

Some references refer to the Weibull distribution with a single parameter. This corresponds to weibpdf with A = 1.

Examples

The exponential distribution is a special case of the Weibull distribution.

lambda = 1:6;
y = weibpdf(0.1:0.1:0.6,lambda,1)
y =
    0.9048    1.3406    1.2197    0.8076    0.4104    0.1639
y1 = exppdf(0.1:0.1:0.6,1./lambda)
y1 =
    0.9048    1.3406    1.2197    0.8076    0.4104    0.1639

Reference

[1] Devroye, L., Non-Uniform Random Variate Generation. Springer-Verlag. New York, 1986.

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