Asymmetric errors are given a consistent treatment by distinguishing pdf-based from likelihood-based uncertainties, and by providing a family of three-parameter models with validated combination rules and open-source software.
Averaging Measurements with Hidden Correlations and Asymmetric Errors
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abstract
Properties of weighted averages are studied for the general case that the individual measurements are subject to hidden correlations and have asymmetric statistical as well as systematic errors. Explicit expressions are derived for an unbiased average with a well defined error estimate.
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Asymmetric Errors
Asymmetric errors are given a consistent treatment by distinguishing pdf-based from likelihood-based uncertainties, and by providing a family of three-parameter models with validated combination rules and open-source software.