Combining upper limits with a Bayesian approach

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.

6 pages, 15 figures, 5 table

References in corpus (5)

• Bayesian Inference in Processing Experimental Data: Principles and Basic Applications
• Estimation of Upper Limits Using a Poisson Statistic
• Search for the $Y(4140)$ via $e^{+}{e}^{-}\to \gamma \varphi J/\psi$ at $\sqrt{s}=$ 4.23, 4.26 and 4.36 GeV
• A Bayesian approach to evaluate confidence intervals in counting experiments with background
• Search for the weak decays $J/\psi \to D_s^{(\ast )}e{\nu }_e$