A new ordering principle for the classical statistical analysis of Poisson processes with background
High Energy Physics - Phenomenology
2011-07-19 v2 High Energy Physics - Experiment
Data Analysis, Statistics and Probability
Abstract
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.
Keywords
Cite
@article{arxiv.hep-ph/9808240,
title = {A new ordering principle for the classical statistical analysis of Poisson processes with background},
author = {C. Giunti},
journal= {arXiv preprint arXiv:hep-ph/9808240},
year = {2011}
}
Comments
16 pages including 5 figures, RevTeX. Final version published in Phys. Rev. D 59 (1999) 053001