# Wolfram Language & System 11.0 (2016)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.
BUILT-IN WOLFRAM LANGUAGE SYMBOL

# TransformedDistribution

TransformedDistribution[expr,xdist]
represents the transformed distribution of expr where the random variable x follows the distribution dist.

TransformedDistribution[expr,{x1,x2,}dist]
represents the transformed distribution of expr where {x1,x2,} follows the multivariate distribution dist.

TransformedDistribution[expr,xproc]
represents the transformed distribution where expr contains expressions of the form x[t], referring the value at time t from the random process proc.

TransformedDistribution[expr,{x1dist1,x2dist2 ,}]
represents a transformed distribution where x1, x2, are independent and follow the distributions dist1, dist2, .

## ExamplesExamplesopen allclose all

### Basic Examples  (3)Basic Examples  (3)

Simple transformations of random variables:

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Transformed distributions can be used like any other distribution:

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Shift a discrete distribution:

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