Bayesian credible interval construction for Poisson statistics

Details Bayesian credible interval construction for Poisson statistics Bayesian credible interval construction for Poisson statistics

2008-12-15

arxiv.org/abs/0812.2705v1

Chin.Phys.C32:363,2008

Physics

Data Analysis, Statistics and Probability

7 pages, 1 figure

Scientific paper

The construction of the Bayesian credible (confidence) interval for a Poisson observable including both the signal and background with and without systematic uncertainties is presented. Introducing the conditional probability satisfying the requirement of the background not larger than the observed events to construct the Bayesian credible interval is also discussed. A Fortran routine, BPOCI, has been developed to implement the calculation.

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