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.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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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.
Transcribed Image Text: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.
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