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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.
Details
- 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.
Examplesopen all
Basic Examples (3)
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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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