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High Quality Content by WIKIPEDIA articles! In probability theory and statistics, the Rayleigh distribution is a continuous probability distribution. As an example of how it arises, the wind speed will have a Rayleigh distribution if the components of the two-dimensional wind velocity vector are uncorrelated and normally distributed with equal variance. The distribution is named after Lord Rayleigh. Rayleigh fading is a statistical model for the effect of a propagation environment on a radio signal, such as that used by wireless devices.