Treatment of Errors in Efficiency Calculations
arXiv:physics/0701199
Abstract
In this report we discuss the treatment of statistical errors in cut efficiencies. The two commonly used methods for the calculation of the errors, Poissonian and Binomial, are shown to be defective. We derive the form of the underlying probability density function and characterize its mean, mode, and variance. A method for the calculation of errors based on the variance of the distribution is discussed.
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