OrderDistribution

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

• OrderDistribution[{dist, n}, {k1, k2, ...}] represents the joint (k1,k2,...)th-order statistics distribution.
• OrderDistribution[{dist1, ..., distn}, ...] represents the order statistics for independent distributions.
• OrderDistribution[mdist, ...] represents the order statistics for multivariate distribution mdist.

Examples

OrderDistribution[{NormalDistribution[], 10}, 5]

Mean[OrderDistribution[{UniformDistribution[], 5}, 3]]

PDF[OrderDistribution[{ExponentialDistribution[1], 3}, 1], x]

*See the official Wolfram Language Reference for more details.