Abstract

A new method for averaging data for which incomplete information is available is presented. For example, this method would be applicable during data evaluation where only the final outcomes of the experiments and the associated uncertainties are known. This method is based on using the measurements to construct a mean probability density for the data set. This “expected value method” (EVM) is designed to treat asymmetric uncertainties and has distinct advantages over other methods of averaging, including giving a more realistic uncertainty, being robust to outliers and consistent under various representations of the same quantity.

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