Related Distributions
- is Rayleigh distributed if, where and are independent normal random variables. (This gives motivation to the use of the symbol "sigma" in the above parameterization of the Rayleigh density.)
- If, then has a chi-squared distribution with parameter, degrees of freedom, equal to two (N=2) :
- If, then has a gamma distribution with parameters and : .
- The Chi distribution with v=2 is equivalent to Rayleigh Distribution with sigma=1
- The Rice distribution is a generalization of the Rayleigh distribution.
- The Weibull distribution is a generalization of the Rayleigh distribution. In this instance, parameter is related to the Weibull scale parameter : .
- The Maxwell–Boltzmann distribution describes the magnitude of a normal vector in three dimensions.
- If has an exponential distribution, then .
Read more about this topic: Rayleigh Distribution
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