Combining upper limits with a Bayesian approach

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YANG Liu, ZHU Kai, ZHU Yong-Sheng and CAI Hao. Combining upper limits with a Bayesian approach[J]. Chinese Physics C, 2015, 39(12): 123001. doi: 10.1088/1674-1137/39/12/123001
YANG Liu, ZHU Kai, ZHU Yong-Sheng and CAI Hao. Combining upper limits with a Bayesian approach[J]. Chinese Physics C, 2015, 39(12): 123001.  doi: 10.1088/1674-1137/39/12/123001 shu
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Received: 2015-01-30
Revised: 2015-07-21
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    Supported by National Natural Science Foundation of China (NSFC) (11005115), Joint Funds of the NSFC and Chinese Academia Sinica's Big Scientific Apparatus (U1232109)

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Combining upper limits with a Bayesian approach

    Corresponding author: ZHU Kai,
    Corresponding author: CAI Hao,
Fund Project:  Supported by National Natural Science Foundation of China (NSFC) (11005115), Joint Funds of the NSFC and Chinese Academia Sinica's Big Scientific Apparatus (U1232109)

Abstract: We discuss how to determine and combine upper limits based on observed events and estimated backgrounds 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.

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