On Bayesian analysis of on-off measurements

Autor: Nosek, Dalibor, Nosková, Jana
Rok vydání: 2016
Předmět:
Zdroj: Nuclear Instruments and Methods in Physics Research A 820 (2016) 23
Druh dokumentu: Working Paper
DOI: 10.1016/j.nima.2016.02.094
Popis: 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.
Databáze: arXiv