Signal discovery in sparse spectra: a Bayesian analysis

Details Signal discovery in sparse spectra: a Bayesian analysis Signal discovery in sparse spectra: a Bayesian analysis

2006-08-25

arxiv.org/abs/physics/0608249v1

Phys.Rev.D74:092003,2006

Physics

Data Analysis, Statistics and Probability

15 pages, 5 figures

Scientific paper

10.1103/PhysRevD.74.092003

A Bayesian analysis of the probability of a signal in the presence of background is developed, and criteria are proposed for claiming evidence for, or the discovery of a signal. The method is general and in particular applicable to sparsely populated spectra. Monte Carlo techniques to evaluate the sensitivity of an experiment are described. As an example, the method is used to calculate the sensitivity of the GERDA experiment to neutrinoless double beta decay.

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