Editing Rayleigh distribution (section)

==Definition==

The [[probability density function]] of the Rayleigh distribution is<ref Name=PP>Papoulis, Athanasios; Pillai, S. (2001) ''Probability, Random Variables and Stochastic Processes''. {{isbn|0073660116}}, {{isbn|9780073660110}} {{Page needed|date=April 2013}}</ref>

:<math>f(x;\sigma) = \frac{x}{\sigma^2} e^{-x^2/(2\sigma^2)}, \quad x \geq 0,</math>

where <math>\sigma</math> is the [[scale parameter]] of the distribution. The [[cumulative distribution function]] is<ref Name=PP/>

:<math>F(x;\sigma) = 1 - e^{-x^2/(2\sigma^2)}</math>

for <math>x \in [0,\infty).</math>