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

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

2003-06-19

arxiv.org/abs/physics/0306146v1

Physics

Data Analysis, Statistics and Probability

8 pages, 1 figure, submitted to PRD

Scientific paper

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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