Treatment of the background error in the statistical analysis of Poisson processes

Details Treatment of the background error in the statistical analysis of Poisson processes Treatment of the background error in the statistical analysis of Poisson processes

1999-01-12

arxiv.org/abs/hep-ex/9901015v2

Phys.Rev.D59:113009,1999

Physics

High Energy Physics

High Energy Physics - Experiment

15 pages including 2 figures, RevTeX. Final version published in Phys. Rev. D 59 (1999) 113009

Scientific paper

10.1103/PhysRevD.59.113009

The formalism that allows to take into account the error sigma_b of the expected mean background b in the statistical analysis of a Poisson process with the frequentistic method is presented. It is shown that the error sigma_b cannot be neglected if it is not much smaller than sqrt(b). The resulting confidence belt is larger that the one for sigma_b=0, leading to larger confidence intervals for the mean mu of signal events.

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