Bayesian credible interval construction for Poisson statistics

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ZHU Yong-Sheng. Bayesian credible interval construction for Poisson statistics[J]. Chinese Physics C, 2008, 32(5): 363-369. doi: 10.1088/1674-1137/32/5/007
ZHU Yong-Sheng. Bayesian credible interval construction for Poisson statistics[J]. Chinese Physics C, 2008, 32(5): 363-369.  doi: 10.1088/1674-1137/32/5/007 shu
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Received: 2007-08-13
Revised: 2007-09-21
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Bayesian credible interval construction for Poisson statistics

    Corresponding author: ZHU Yong-Sheng,
  • Institute of High Energy Physics, CAS, Beijing 100049, China

Abstract: 

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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