Solved: Let Y1, Y2,..., Yn be independent, exponentially distributed random variables

Chapter 6, Problem 6.86

(choose chapter or problem)

Let \(Y_{1}, Y_{2}, \ldots, Y_{n}\) be independent, exponentially distributed random variables with mean \(\beta\). Give the

a density function for \(Y_{(k)}\), the kth-order statistic, where k is an integer between 1 and n.

b joint density function for \(Y_{(j)}\) and \(Y_{(k)}\) where j and k are integers \(1 \leq j<k \leq n\).

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