raylstat

Rayleigh mean and variance

Syntax

m = raylstat(b)

[m,v] = raylstat(b)

Description

m = raylstat(b) returns the mean for the Rayleigh distribution with the scale parameter b.

[m,v] = raylstat(b) also returns the variance for the distribution.

Examples

Compute Mean and Variance

Compute the mean and variance of a Rayleigh distribution with the scale parameter b.

b = 2;
[mean,variance] = raylstat(b)

mean = 
2.5066

variance = 
1.7168

Input Arguments

b — Scale parameter

positive scalar value | array of positive scalar values

Scale parameter, specified as a positive scalar value or an array of positive scalar values.

Data Types: single | double

Output Arguments

m — Mean

numeric scalar | array of numeric scalars

Mean for the Rayleigh distribution, returned as a numeric scalar or an array of numeric scalars. m is the same size as b. Each element in m is the mean of the Rayleigh distribution specified by the corresponding element in b.

The mean of the Rayleigh distribution is

$$b\sqrt{\pi /2}$$

v — Variance

numeric scalar | array of numeric scalars

Variance for the Rayleigh distribution, returned as a numeric scalar or an array of numeric scalars. v is the same size as b. Each element in v is the variance of the Rayleigh distribution specified by the corresponding element in b.

The variance of the Rayleigh distribution is

$$\frac{4-\pi }{2}{b}^2$$

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

GPU Arrays

Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.

This function fully supports GPU arrays. For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).

Version History

Introduced before R2006a