Maximum-likelihood Regression with Systematic Errors for Astronomy and the Physical Sciences. I. Methodology and Goodness-of-fit Statistic of Poisson Data

Maximum-likelihood Regression with Systematic Errors for Astronomy and the Physical Sciences. I. Methodology and Goodness-of-fit Statistic of Poisson Data

This paper presents a new statistical method that enables the use of systematic errors in the maximum-likelihood regression of integer-count Poisson data to a parametric model. The method is primarily aimed at the characterization of the goodness-of-fit statistic in the presence of the over-dispersi...

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Bibliographic Details
Main Authors: Massimiliano Bonamente, Yang Chen, Dale Zimmerman
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:The Astrophysical Journal
Subjects:
Astrostatistics
Regression
Maximum likelihood estimation
Poisson distribution
Parametric hypothesis tests
Measurement error model
Online Access:https://doi.org/10.3847/1538-4357/ad9b1e
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