Let Y1 < Y2 < Y3 < Y4 < Y5 denote the order statistics of a...

Let Y₁ < Y₂ < Y₃ < Y₄ < Y₅ denote the order statistics of a random sample of size 5 from a distribution having pdf f(x) = e−x, 0 < x < ∞, zero elsewhere.

show that Y₄ and Y₅ – Y₄ are independent.

Hint: First find the joint pdf of Y₄ and Y₅.

Expert Solution

orchestra answered 1 year ago

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