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raylpdf

Rayleigh probability density function

Y = raylpdf(X,B)

Description

Y = raylpdf(X,B) computes the Rayleigh pdf at each of the values in X using the corresponding scale parameter, B. X and B can be vectors, matrices, or multidimensional arrays that all have the same size, which is also the size of Y. A scalar input for X or B is expanded to a constant array with the same dimensions as the other input.

The Rayleigh pdf is

$y=f\left(x|b\right)=\frac{x}{{b}^{2}}{e}^{\left(\frac{-{x}^{2}}{2{b}^{2}}\right)}$

Examples

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Compute and Plot Rayleigh Distribution pdf

Compute the pdf of a Rayleigh distribution with parameter B = 0.5.

```x = [0:0.01:2];
p = raylpdf(x,0.5);
```

Plot the pdf.

```figure;
plot(x,p)
```