Rayleigh Distribution - Related Distributions

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:

    Perhaps it is nothingness which is real and our dream which is non-existent, but then we feel think that these musical phrases, and the notions related to the dream, are nothing too. We will die, but our hostages are the divine captives who will follow our chance. And death with them is somewhat less bitter, less inglorious, perhaps less probable.
    Marcel Proust (1871–1922)