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
Famous quotes containing the word related:
“No being exists or can exist which is not related to space in some way. God is everywhere, created minds are somewhere, and body is in the space that it occupies; and whatever is neither everywhere nor anywhere does not exist. And hence it follows that space is an effect arising from the first existence of being, because when any being is postulated, space is postulated.”
—Isaac Newton (1642–1727)