Joint Bayesian Treatment of Poisson and Gaussian Experiments in a Chi-squared Statistic
Abstract
Description
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.
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
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