# 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, .

# Details and Options • xdist can be entered as x dist dist or x[Distributed]dist.
• TransformedDistribution will simplify to known special distributions whenever possible.
• Assumptions on parameters can be specified using the options Assumptions->assum.
• TransformedDistribution can be used with such functions as Mean, CDF, RandomVariate, etc.

# Examples

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## Basic Examples(3)

Simple transformations of random variables:

 In:= Out= In:= Out= In:= Out= In:= Out= Transformed distributions can be used like any other distribution:

 In:= Out= In:= Out= In:= Out= In:= Out= Shift a discrete distribution:

 In:= Out= In:= Out= In:= Out= ## Neat Examples(1)

Introduced in 2010
(8.0)
|
Updated in 2016
(10.4)