A new ordering principle for the classical statistical analysis of Poisson processes with background

Details A new ordering principle for the classical statistical analysis of Poisson processes with background A new ordering principle for the classical statistical analysis of Poisson processes with background

1998-08-06

arxiv.org/abs/hep-ph/9808240v2

Phys.Rev.D59:053001,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages including 5 figures, RevTeX. Final version published in Phys. Rev. D 59 (1999) 053001

Scientific paper

10.1103/PhysRevD.59.053001

Inspired by the recent proposal by Feldman and Cousins of a ``unified approach to the classical statistical analysis of small signals'' based on a choice of ordering in Neyman's construction of classical confidence intervals, I propose a new ordering principle for the classical statistical analysis of Poisson processes with background which minimizes the effect on the resulting confidence intervals of the observation of less background events than expected. The new ordering principle is applied to the calculation of the confidence region implied by the recent null result of the KARMEN neutrino oscillation experiment.

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