# pdfWeibull¶

## Purpose¶

Computes the probability density function of a Weibull random variable.

## Format¶

p = pdfWeibull(x, k, lambda)
Parameters: x (NxK matrix, Nx1 vector or scalar) – x must be greater than 0. k (NxK matrix, Nx1 vector or scalar) – Shape parameter, ExE conformable with x. k must be greater than 0. lambda (Nx1 vector or scalar) – Scale parameter, may be matrix, ExE conformable with x. lambda must be greater than 0. p (NxK matrix, Nx1 vector or scalar) – the probability density function of a Weibull random variable evaluated at x.

## Remarks¶

The probability density function of a Weibull random variable is defined as

$\begin{split}f(x, \lambda, k) = \begin{cases} \frac{k}{\lambda} \big(\frac{x}{\lambda}\big)^{k-1} e^{-(x/\lambda)k}, & x \geq 0\\ 0, & x < 0 \end{cases}\end{split}$