Asymmetric errors

Barlow, Roger [Univ. of Huddersfield (United Kingdom)] (ORCID:0000000282958612); Brazzale, Alessandra Rosalba [Univ. of Padua (Italy)]; Volobouev, Igor [Texas Tech Univ., Lubbock, TX (United States)]

doi:10.1016/j.nima.2025.170857

DOE OSTI · 3010412

Asymmetric errors

Barlow, Roger [Univ. of Huddersfield (United Kingdom)] (ORCID:0000000282958612)·Brazzale, Alessandra Rosalba [Univ. of Padua (Italy)]·Volobouev, Igor [Texas Tech Univ., Lubbock, TX (United States)]

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Abstract

We present a procedure for handling asymmetric errors. Many results in particle physics are presented as values with different positive and negative errors, and there is no consistent procedure for handling them. We consider the difference between errors quoted, using pdfs and using likelihoods, and the difference between the rms spread of a measurement and the 68% central confidence region. We provide a comprehensive analysis of the possibilities, and software tools to enable their use.

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Asymmetric Confidence region Statistical error Systematic error

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Barlow, Roger [Univ. of Huddersfield (United Kingdom)] (ORCID:0000000282958612), Brazzale, Alessandra Rosalba [Univ. of Padua (Italy)], Volobouev, Igor [Texas Tech Univ., Lubbock, TX (United States)]. 2025-08-07. Asymmetric errors. https://doi.org/10.1016/j.nima.2025.170857

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