Since the probability density function for a ( standard ) Rayleigh distribution is given by
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The asymptotic function for a two dimensional random walk as the number of steps increases is given by a Rayleigh distribution.
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The Weibull factor is often close to 2 and therefore a Rayleigh distribution can be used as a less accurate, but simpler model.
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A Rayleigh distribution is often observed when the overall magnitude of a vector is related to its directional Gaussian with equal variance and zero mean.
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In probability theory and statistics, the "'Rayleigh distribution "'is a continuous probability distribution for positive-valued random variables.
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In the case of phase interference fading, the time distribution of the instantaneous field strength usually approximates a Rayleigh distribution when several signal components of equal amplitude are present.
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Rayleigh distribution shows statistically that if significant waves are for example 33 ft, then 1 in 100 will be larger than 50 ft . This tendency is frequently reinforced by eyewitness accounts.
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The Rayleigh distribution for this mean wind speed indicates wind speeds in excess of 8 m / s are likely to occur for 2348 hours in the year or about 27 % of the year.
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In probability theory and statistics a "'Rayleigh mixture distribution "'is a weighted mixture of multiple probability distributions where the weightings are equal to the weightings of a Rayleigh distribution.
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:: : The Gamma function features with a non-integer argument in, amongst others, the Chi distribution, Dirichlet distribution, Gamma distribution, Pearson distribution, Rayleigh distribution, and Weibull distribution.
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