BUILT-IN MATHEMATICA SYMBOL

# TruncatedDistribution

TruncatedDistribution[{xmin, xmax}, dist]
represents the distribution obtained by truncating the values of dist to lie between and .

TruncatedDistribution[{{xmin, xmax}, {ymin, ymax}, ...}, dist]
represents the distribution obtained by truncating the values of the multivariate distribution dist to lie between and , and , etc.

## DetailsDetails

• The probability density for TruncatedDistribution[{xmin, xmax}, dist] is given by for , where is the PDF and is the CDF of dist, and is zero otherwise.
• Common cases for include:
•  {-∞,xmax} truncated from above {xmin,∞} truncated from below {xmin,xmax} doubly truncated {-∞,∞},None no truncation
• TruncatedDistribution can be used with such functions as Mean, CDF, and RandomVariate.

## ExamplesExamplesopen allclose all

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

Simple truncated distributions:

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Define a truncated univariate distribution:

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Define a truncated multivariate distribution:

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