Joint Distribution of Order Statistics

Free SOA Exam P (Probability) lesson in Multivariate Random Variables. 19 min read, ~2,861 words.

Order statistics sort the sample:, so is the maximum and the minimum. Maximum CDF:. Minimum survival:. PDF of: coefficient times. Uniform order statistics: with mean. Min of iid exponentials: exponential with mean (rates add). Joint PDF of two order stats: five-factor formula (below, at x, between, at y, above), zero...