  A maximum likelihood method is used to deal with the combined estimation of
multi-measurements of a branching ratio, where each result can be presented as
an upper limit. The joint likelihood function is constructed using observed
spectra of all measurements and the combined estimate of the branching ratio is
obtained by maximizing the joint likelihood function. The Bayesian credible
interval, or upper limit of the combined branching ratio, is given in cases
both with and without inclusion of systematic error.

Data Analysis, Statistics and Probability;High Energy Physics - Experiment