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Data analysis in HEP experiments often uses binned likelihood from data andfinite Monte Carlo sample. Statistical uncertainty of Monte Carlo sample hasbeen introduced in Frequentist Inference in some literatures, but they are notsuitable for Bayesian Inference. This technical note introduces the binnedlikelihood with Monte Carlo statistical uncertainty in Bayesian Inference andincludes the derivation of it. It turns out that the results are similar to theresults in [1]. But this tech-note gives an alternate and more intuitivederivation of the content

Binned Likelihood including Monte Carlo Statistical Uncertainty in Bayesian Inference