Relative Belief Methods for Statistical Inference in Particle Physics Signal Detection
A preprint posted to arXiv introduces a Bayesian-grounded statistical approach called 'relative belief inferences' for quantifying uncertainty in particle physics experiments. The work applies this framework to a Poisson signal-plus-background model and contrasts it with the widely used Feldman-Cousins interval construction. The paper argues that relative belief intervals can simultaneously satisfy both Bayesian evidence principles and frequentist confidence-level requirements, potentially offering a more principled unified approach to statistical reporting in high-energy physics.
Submitted to arXiv on June 8, 2026, the paper by Michael Evans proposes using 'relative belief inferences' — a Bayesian framework grounded in the principle of evidence — to construct uncertainty intervals for particle physics measurements. The central application is a Poisson model describing a signal observed against background noise, a common scenario in high-energy physics experiments. The authors argue that valid statistical inferences must respect the likelihood ordering, a requirement they contend is naturally satisfied by relative belief but not always by conventional methods. These intervals are directly compared to Feldman-Cousins intervals, the current community standard introduced in the late 1990s and widely adopted by experiments such as those at CERN. A key claim is that, when errors in relative belief inferences are properly controlled, the method also meets frequentist repeated-sampling criteria, bridging a long-standing philosophical divide between Bayesian and frequentist statistics. The work is categorized under data analysis, statistics, high-energy physics experiment, and statistical applications, reflecting its interdisciplinary scope. As a preprint, the results have not yet undergone formal peer review.
What's missing
As a preprint, this work has not been peer-reviewed, and independent validation of the claimed equivalence between relative belief intervals and frequentist confidence levels has not yet been established. The paper does not appear to include empirical comparisons using real experimental datasets from particle physics collaborations, leaving open questions about practical performance relative to Feldman-Cousins in realistic high-dimensional settings.
What different sources said
- arXiv physicsCenter
Confidence, Statistical Evidence and Relative Belief with Applications to a Problem in Particle Physics
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