On Bayesian analysis of on-off measurements
arXiv:1603.03386 · doi:10.1016/j.nima.2016.02.094
Abstract
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.
References in corpus (3)
- Evaluation of three methods for calculating statistical significance when incorporating a systematic uncertainty into a test of the background-only hypothesis for a Poisson process
- Signal discovery, limits, and uncertainties with sparse On/Off measurements: an objective Bayesian analysis
- Objective Bayesian analysis of "on/off" measurements