摘要
We discuss how to determine and combine upper limits based on observed events and estimated back- grounds with a Bayesian method, when insignificant signals are observed in independent measurements. In addition to some general features deduced from the analytical formulae, systematic numerical results are obtained by a C＋＋ program （CULBA） for low-count experiments, which can be used as a reference to combine two upper limits.
We discuss how to determine and combine upper limits based on observed events and estimated back- grounds with a Bayesian method, when insignificant signals are observed in independent measurements. In addition to some general features deduced from the analytical formulae, systematic numerical results are obtained by a C＋＋ program （CULBA） for low-count experiments, which can be used as a reference to combine two upper limits.
基金
Supported by National Natural Science Foundation of China(NSFC)(11005115),Joint Funds of the NSFC and Chinese Academia Sinica's Big Scientific Apparatus(U1232109)
