# ProductDistribution

ProductDistribution[dist1,dist2,]

represents the joint distribution with independent component distributions dist1, dist2, .

# Details

• The probability density for ProductDistribution[dist1,dist2,] is given by where is the PDF of dist1, is the PDF of dist2, etc.
• The notation {disti,n} indicates that disti is repeated n times.
• The distributions disti can be any combination of univariate, multivariate, continuous, or discrete distributions.
• ProductDistribution can be used with such functions as Mean, CDF, and RandomVariate.

# Examples

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## Basic Examples(3)

Define a two-dimensional distribution for independent normal random variables:

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Define a two-dimensional distribution for independent identically distributed components:

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Define a multivariate distribution with continuous and discrete components:

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## Neat Examples(1)

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