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

dc.creatorSilverman, Dennis
dc.date1998-08-06
dc.date1999-10-19
dc.date.accessioned2026-07-07T05:56:19Z
dc.date.available2026-07-07T05:56:19Z
dc.descriptionBayesian 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.
dc.description26 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
dc.identifierhttps://arxiv.org/abs/physics/9808004
dc.identifierhttp://arxiv.org/abs/physics/9808004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/87562
dc.subjectData Analysis, Statistics and Probability
dc.subjectHigh Energy Physics - Phenomenology
dc.titleJoint Bayesian Treatment of Poisson and Gaussian Experiments in a Chi-squared Statistic
dc.typetext

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