Admissibility Any UMP unbiased test 0, is admissible in the sense that there cannot exist another test 1 which is at least as powerful as 0 against all alternatives and more powerful against some If is unbiased and is uniformly at least as powerful as , then is also unbiased ...

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Admissibility. Any UMP unbiased test 0, is admissible in the sense that there cannot exist another test

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Admissibility. Any UMP unbiased test φ0, is admissible in the sense that there cannot exist another test φ1 which is at least as powerful as φ0 against all alternatives and more powerful against some.

[If φ is unbiased and φ is uniformly at least as powerful as φ, then φ is also unbiased.]

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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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Admissibility. Any UMP unbiased test 0, is admissible in the sense that there cannot exist another test

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Testing Statistical Hypotheses

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