The Rice distribution
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The Rice distribution is characterises the magnitude of a
circular bivariate normal random vector with potentially non-zero mean.
 
 
  | Distribution name | Rice
  distribution | 
 
  | Common notation | 
 | 
 
  | Parameters |  =
  parameter
  =
  parameter
 | 
 
  | Domain | 
 | 
 
  | Probability density
  function | 
 where  is
  the modified Bessel function of the first kind of order zero, i.e.  | 
 
  | Cumulative distribution
  function | 
 where  is
  the Marcum Q-function, i.e.  . | 
 
  | Mean | 
 | 
 
  | Variance | 
 | 
 
  | Other comments | The Rayleigh
  distribution is a special case of the Rice distribution where  .   Its non-central moments are: 
 where  is
  a Laguerre polynomial. | 
 
Nematrian web functions
 
This distribution is not currently supported within the Nematrian
web function library. For details of supported probability distributions
see here.
 
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