English

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

Data Analysis, Statistics and Probability 2007-05-23 v1 Astrophysics High Energy Physics - Experiment

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.

Cite

@article{arxiv.physics/0306146,
  title  = {The uniformly most powerful test of statistical significance for counting-type experiments with background},
  author = {L. Fleysher and R. Fleysher and T. J. Haines and A. I. Mincer and P. Nemethy},
  journal= {arXiv preprint arXiv:physics/0306146},
  year   = {2007}
}

Comments

8 pages, 1 figure, submitted to PRD