BUILT-IN MATHEMATICA SYMBOL

# OrderDistribution

OrderDistribution[{dist, n}, k]
represents the k-order statistics distribution for n observations from the distribution dist.

OrderDistribution[{dist, n}, {k1, k2, ...}]
represents the joint -order statistics distribution from n observations from the distribution dist.

## DetailsDetails

• OrderDistribution[{dist, n}, k] represents the distribution of the k element in the sorted list of n samples drawn from the parent distribution dist.
• The distribution dist can be either a discrete or continuous distribution, but needs to be univariate.
• OrderDistribution[{dist, n}, 1] represents the distribution of Min[x1, ..., xn], where each has distribution dist.
• OrderDistribution[{dist, n}, n] represents the distribution of Max[x1, ..., xn], where each has distribution dist.
• OrderDistribution can be used with such functions as Mean, CDF, and RandomVariate.

## ExamplesExamplesopen allclose all

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

Simple order distributions:

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Order distribution of a single order statistic behaves like any other univariate distribution:

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Joint order distribution of two or more order statistics works like any other multivariate distribution:

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