raylcdf

Rayleigh cumulative distribution function

Syntax

p = raylcdf(x,b)
p = raylcdf(x,b,'upper')


Description

p = raylcdf(x,b) returns the Rayleigh cdf at each value in x using the corresponding scale parameter, b. x and b can be vectors, matrices, or multidimensional arrays that all have the same size. A scalar input for x or b is expanded to a constant array with the same dimensions as the other input.

p = raylcdf(x,b,'upper') returns the complement of the Rayleigh cdf at each value in x, using an algorithm that more accurately computes the extreme upper tail probabilities.

The Rayleigh cdf is

$$y=F(x|b)={\displaystyle {\int }_0^x\frac{t}{b^2}}{e}^{\left(\frac{-t^2}{2b^2}\right)}dt$$

Examples

Compute and Plot Rayleigh Distribution cdf

Compute the cdf of a Rayleigh distribution with parameter B = 1.

x = 0:0.1:3;
p = raylcdf(x,1);

Plot the cdf.

figure;
plot(x,p)

References

[1] Evans, M., N. Hastings, and B. Peacock. Statistical Distributions. Hoboken, NJ: Wiley-Interscience, 2000. pp. 134–136.

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