Asymmetric Errors
Roger Barlow, Alessandra Brazzale, Igor Volobouev
TL;DR
This paper introduces a comprehensive procedure and software tools for consistently handling asymmetric errors in particle physics measurements, addressing the lack of standardization in current practices.
Contribution
It provides a unified framework and practical tools for managing asymmetric errors, comparing different error representations and offering guidance for their application.
Findings
Analysis of differences between pdf and likelihood-based errors
Comparison of rms spread and confidence regions
Development of software tools for error handling
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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Taxonomy
TopicsProbabilistic and Robust Engineering Design · Statistical and numerical algorithms