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BUILT-IN MATHEMATICA SYMBOL
TransformedDistribution
TransformedDistribution[expr, x
dist]
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 
follows the multivariate distribution dist.
TransformedDistribution[expr, {x1dist1, x2dist2 , ...}]
represents a transformed distribution where 
, 
, ... are independent and follow the distributions 
, 
, ....
Details and Options
can be entered as x EscdistEsc dist or 
. - TransformedDistribution will simplify to known special distributions whenever possible.
- TransformedDistribution can be used with such functions as Mean, CDF, and RandomVariate, etc.
Examplesopen all
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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