Inferring the success parameter p of a binomial model from small samples affected by background
Data Analysis, Statistics and Probability
2007-05-23 v1 Astrophysics
Abstract
The problem of inferring the binomial parameter p from x successes obtained in n trials is reviewed and extended to take into account the presence of background, that can affect the data in two ways: a) fake successes are due to a background modeled as a Poisson process of known intensity; b) fake trials are due to a background modeled as a Poisson process of known intensity, each trial being characterized by a known success probability p_b.
Keywords
Cite
@article{arxiv.physics/0412069,
title = {Inferring the success parameter p of a binomial model from small samples affected by background},
author = {G. D'Agostini},
journal= {arXiv preprint arXiv:physics/0412069},
year = {2007}
}
Comments
24 pages, 12 figures. This paper and related work are also available at http://www.roma1.infn.it/~dagos/prob+stat.html