Let X1,..., Xn be independently distributed, each uniformly over the integers 1, 2,..., . Determine whether there

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Let X1,..., Xn be independently distributed, each uniformly over the integers 1, 2,..., θ. Determine whether there exists a UMP test for testing H :

θ = θ0, at level 1/θn 0 against the alternatives (i) θ > θ0; (ii) θ < θ0; (iii) θ = θ0.

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Testing Statistical Hypotheses Volume I

ISBN: 9783030705770

4th Edition

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

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