Uniform versus triangular. (i) For f0(x) = 1 (0 < x < 1), f1(x) = 2x (0

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Uniform versus triangular.

(i) For f0(x) = 1 (0 < x < 1), f1(x) = 2x (0 < x < 1), the test of Problem 6.13 reduces to rejecting when T = x(n)/x¯ < C.

(ii) Under f0, the statistic 2n log T is distributed as χ2 2n.

(Quesenberry and Starbuck, 1976.)

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Testing Statistical Hypotheses Volume I

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

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Uniform versus triangular. (i) For f0(x) = 1 (0 < x < 1), f1(x) = 2x (0

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Testing Statistical Hypotheses Volume I

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