Negative binomial. Let X, Y be independently distributed according to negative binomial distributions Nb(p1, m) and Nb(p2,

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

ISBN: 9781441931788

3rd Edition

Authors: Erich L. Lehmann, Joseph P. Romano

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Question Posted: Nov 02, 2024 04:01 AM

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Negative binomial. Let X, Y be independently distributed according to negative binomial distributions Nb(p1, m) and Nb(p2,

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Testing Statistical Hypotheses

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