PoissonRatioUQ: An R package for band ratio uncertainty quantification

2026/02/06 by Matthew LeDuc, Tomoko Matsuo · 1 voice · 1 citation
Mathematics · Physics and Astronomy · #stat.CO #physics.data-an #stat.ME

paper · pdf

arxiv published 2026/02/06 · arxiv updated 2026/06/04

Abstract

We introduce an R package for Bayesian modeling and uncertainty quantification for problems involving count ratios. The modeling relies on the assumption that the quantity of interest is the ratio of Poisson means rather than the ratio of counts. We provide multiple different options for retrieval of this quantity for problems with and without spatial information included. Some added capability for uncertainty quantification for problems of the form Z=(mT+z₀)^p, where Z is the intensity ratio and T the quantity of interest, is included.

Citations

• The Continuous Rank Probability Score of a Generalized Beta-Prime Distribution and Some Special Cases
• Fast Bayesian Intensity Estimation for the Permanental Process
• Poisson intensity estimation with reproducing kernels
• Strictly Proper Scoring Rules, Prediction, and Estimation
• Hardness Ratio Estimation in Low Counting X‐Ray Photometry
• Bayesian Estimation of Hardness Ratios: Modeling and Computations

Discussions

• Matthew LeDuc, Tomoko Matsuo: PoissonRatioUQ: An R package for band ratio uncertainty quantification https://arxiv.org/abs/2602.07165 https://arxiv.org/pdf/2602.07165 https://arxiv.org/html/2602.07165 [bsky, 0 points, 0 comments]

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