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Q7Section I (Objective (Q1–Q80))7 of 80

Statistical Inference — probability integral transform of order statistics

If X(r)X_{(r)} is the rthr^{\text{th}} order statistic in a random sample of size nn from a distribution with c.d.f. F(x)F(x) which is continuous, then F(X(r))F(X_{(r)}) is the rthr^{\text{th}} order statistic in a random sample of size nn from the

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