Inferring the success parameter p of a binomial model from small samples affected by background

G. D'Agostini

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Inferring the success parameter p of a binomial model from small samples affected by background

G. D'Agostini

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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.

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G. D'Agostini. 2004-12-13. Inferring the success parameter p of a binomial model from small samples affected by background. https://arxiv.org/abs/physics/0412069

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