Cdf.Rayleigh Method

Evaluates the Rayleigh cumulative probability distribution function.

public static double Rayleigh(
double x,
double alpha
);

x: A double scalar value representing the argument at which the function is to be evaluated. It must be non-negative.
alpha: A double scalar value representing the scale parameter.

A double scalar value representing the probability that a Rayleigh random variable takes a value less than or equal to x.

Method Rayleigh is a special case of Weibull distribution function where the shape parameter gamma is 2.0; that is,

$F(x) = 1-e^{-\frac{x^2}{2\alpha^2}}$

where alpha is the scale parameter.

Plot of Rayleigh Distribution Function