Joint Bayesian Treatment of Poisson and Gaussian Experiments in a Chi-squared Statistic
Data Analysis, Statistics and Probability
2007-05-23 v2 High Energy Physics - Phenomenology
Abstract
Bayesian Poisson probability distributions for the average n can be analytically converted into equivalent chi-squared distributions. These can then be combined with other Gaussian or Bayesian Poisson distributions to make a total chi-squared distribution. This allows the usual treatment of chi-squared contours but now with both Poisson and Gaussian statistics experiments. This is illustrated with the case of neutrino oscillations.
Keywords
Cite
@article{arxiv.physics/9808004,
title = {Joint Bayesian Treatment of Poisson and Gaussian Experiments in a Chi-squared Statistic},
author = {Dennis Silverman},
journal= {arXiv preprint arXiv:physics/9808004},
year = {2007}
}
Comments
26 pages, with RevTeX. The replacement has added the application to neutrino oscillation experiments. It also includes a more general derivation. For the case with background, it includes a study of the normalization