Exclusion regions and their power

Physics – Data Analysis – Statistics and Probability

Scientific paper

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4 pages, 2 figures, submitted to PRD

Scientific paper

The question of exclusion region construction in new phenomenon searches has been causing considerable discussions for many years and yet no clear mathematical definition of the problem has been stated so far. In this paper we formulate the problem in mathematical terms and propose a solution to the problem within the framework of statistical tests. The proposed solution avoids problems of the currently used procedures.

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