11. Let X₁,..., Xn be iid with pdf fx (x) and cdf Fx (x), and letX(1) < ... <X(1) be the order statistics. Find an expression for the conditionaldensity of X(₁) given X(₁) (i ‡ j) in terms of fx and Fx.

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Answered: 11. Let X₁, ..., Xn be iid with pdf fx…

A First Course in Probability (10th Edition)

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11. Let X₁, ..., Xn be iid with pdf fx (x) and cdf Fx (x), and letX(1) < ... < X(1) be the order statistics. Find an expression for the conditional density of X(₁) given X(₁) (i ‡ j) in terms of fx and Fx.