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The uniformly most powerful test of statistical significance for counting-type experiments with background

L. Fleysher·R. Fleysher·T. J. Haines·A. I. Mincer·P. Nemethy
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Abstract

In this paper, after a discussion of general properties of statistical tests, we present the construction of the most powerful hypothesis test for determining the existence of a new phenomenon in counting-type experiments where the observed Poisson process is subject to a Poisson distributed background with unknown mean.

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L. Fleysher, R. Fleysher, T. J. Haines, A. I. Mincer, P. Nemethy. 2003-06-19. The uniformly most powerful test of statistical significance for counting-type experiments with background. https://arxiv.org/abs/physics/0306146

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