开关测量的贝叶斯分析
On Bayesian analysis of on-off measurements
摘要：
我们提出了一个分析解决方案的开-关问题的框架内贝叶斯统计。新现象发现的统计意义和模型参数的可信区间都以一致的方式给出。我们使用一个足够大的家庭的先验分布的相关参数。提出的分析旨在提供贝叶斯解决方案，可用于任何数量的观察到的开关事件，包括零。使用蒙特卡罗模拟检查程序。从伽马射线天文学的例子证明了该方法的实用性。
英文摘要：
We propose an analytical solution to the on-off problem within the framework of Bayesian statistics. Both the statistical significance for the discovery of new phenomena and credible intervals on model parameters are presented in a consistent way. We use a large enough family of prior distributions of relevant parameters. The proposed analysis is designed to provide Bayesian solutions that can be used for any number of observed on-off events, including zero. The procedure is checked using Monte Carlo simulations. The usefulness of the method is demonstrated on examples from gamma-ray astronomy.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
