Negative binomial. Let X, Y be independently distributed according to negative binomial distributions N b(p1, m) and

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Negative binomial. Let X, Y be independently distributed according to negative binomial distributions N b(p1, m) and N b(p2, n) respectively, and let qi = 1 − pi .

(i) There exists a UMP unbiased test for testing H : θ = q2/q1 ≤ θ0 and hence in particular H : p1 ≤ p2.

(ii) Determine the conditional distribution required for testing H when m = n = 1.

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Testing Statistical Hypotheses Volume I

ISBN: 9783030705770

4th Edition

Authors: E.L. Lehmann, Joseph P. Romano

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Question Posted: Nov 04, 2024 03:00 AM

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Negative binomial. Let X, Y be independently distributed according to negative binomial distributions N b(p1, m) and

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Testing Statistical Hypotheses Volume I

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