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Competitive Stats
Q25Section I (Objective (Q1–Q80))25 of 79

Statistical Inference — Neyman-Pearson best critical region

Let x1,x2,…,xnx_1,x_2,…,x_n be a random sample with density function f(x,θ)=θe−θxf(x,\theta)=\theta e^{-\theta x}; x>0x>0. The best critical region for testing H0:θ=θ0H_0:\theta=\theta_0 against H1:θ=θ1 (>θ0)H_1:\theta=\theta_1\,(>\theta_0) is:

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