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Bayesian credible interval construction for Poisson statistics |
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| Authors: | ZHU Yong-Sheng |
| 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. |
| Keywords: | Bayesian credible interval systematic uncertainties Poisson distribution statistics Poisson construction interval calculation Fortran conditional probability requirement events observable signal background uncertainties confidence Bayesian |
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