卡方统计量中泊松与高斯实验的联合贝叶斯处理
数据分析、统计与概率
2007-05-23 v2 高能物理 - 唯象学
摘要
平均 n 的贝叶斯泊松概率分布可解析地转换为等效卡方分布。这些分布随后可与其他高斯或贝叶斯泊松分布合并以构成总卡方分布。这允许通常的卡方轮廓处理，但现同时包含泊松与高斯统计实验。以中微子振荡情形为例说明了这一点。
引用
@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}
}
备注
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