## File: The-Rayleigh-Distribution.html

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 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109  GNU Scientific Library – Reference Manual: The Rayleigh Distribution

20.10 The Rayleigh Distribution

Function: double gsl_ran_rayleigh (const gsl_rng * r, double sigma)

This function returns a random variate from the Rayleigh distribution with scale parameter sigma. The distribution is,

p(x) dx = {x \over \sigma^2} \exp(- x^2/(2 \sigma^2)) dx

for x > 0.

Function: double gsl_ran_rayleigh_pdf (double x, double sigma)

This function computes the probability density p(x) at x for a Rayleigh distribution with scale parameter sigma, using the formula given above.

Function: double gsl_cdf_rayleigh_P (double x, double sigma)
Function: double gsl_cdf_rayleigh_Q (double x, double sigma)
Function: double gsl_cdf_rayleigh_Pinv (double P, double sigma)
Function: double gsl_cdf_rayleigh_Qinv (double Q, double sigma)

These functions compute the cumulative distribution functions P(x), Q(x) and their inverses for the Rayleigh distribution with scale parameter sigma.