1. Admissibility. Any UMP unbiased test 4>0 is admissible in the sense that there cannot exist another...

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1. Admissibility. Any UMP unbiased test 4>0 is admissible in the sense that there cannot exist another test 4>1 which is at least as powerful as 4>0 against all alternatives and more powerful against some. [If 4> is unbiased and 4>' is uniformly at least as powerful as 4>, then 4>' is also unbiased.]

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