Let f (x) = g(x) + (1 )h(x) with 0 1. Then

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Let fθ (x) = θg(x) + (1 − θ )h(x) with 0 ≤ θ ≤ 1. Then fθ (x)satisfies the assumptions of Lemma 8.2.1 provided g(x)/h(x)is a nondecreasing function of x.

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Testing Statistical Hypotheses Volume I

ISBN: 9783030705770

4th Edition

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

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