Distributed

Distributed[x,dist]

or xdist asserts that the random variable x is distributed according to the probability distribution dist.

Distributed[{x1,x2,},dist]

or {x1,x2,}dist asserts that the random vector {x1,x2,} is distributed according to the multivariate probability distribution dist.

Details

  • xdist can be entered as x dist dist or x[Distributed]dist.
  • xdist is a symbolic object used in functions such as Probability and Expectation.
  • xproc[t] asserts that the random variable x is distributed according to the distribution SliceDistribution[proc,t] for the random process proc.
  • The probability distribution dist can be any symbolic probability distribution specification.

Examples

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Basic Examples  (3)

Compute the probability of an event in a symbolic probability distribution:

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Obtain the numerical value directly using NProbability:

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Compute the expectation of a function in a multivariate probability distribution:

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Mean and variance for the distribution obtained by transformation of a random variable:

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Scope  (5)

Generalizations & Extensions  (1)

See Also

Probability  NProbability  Expectation  NExpectation  TransformedDistribution

Introduced in 2010
(8.0)