Treatment of the background error in the statistical analysis of Poisson processes
Abstract
The formalism that allows to take into account the error sigmab of the expected mean background b in the statistical analysis of a Poisson process with the frequentistic method is presented. It is shown that the error sigmab cannot be neglected if it is not much smaller than sqrt(b). The resulting confidence belt is larger that the one for sigmab=0, leading to larger confidence intervals for the mean mu of signal events.
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