31. Locally uniformly most powerful tests. If the sample space is finite and independent of 0, the...
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31. Locally uniformly most powerful tests. If the sample space is finite and independent of 0, the test 'Po of Problem 2(i) is not only LMP but also locally uniformly most powerful (LUMP) in the sense that there exists a value A > 0 such that 'Po maximizes /3", (0) for all ° with 0 < °-00 < A. [See the argument following (19) of Chapter 6, Section 9.]
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