Confidence intervals for a Poisson parameter with background

DOI10.1080/03610926.2022.2033268OpenAlexW4210684513MaRDI QIDQ6096156

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Publication date: 11 September 2023

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2022.2033268

zbMATH Keywords

confidence intervalcoverage probabilityinferential modelexpected lengthplausibility function

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Parametric inference under constraints (62F30) Applications of statistics to physics (62P35)

Cites Work

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• Inference about constrained parameters using the elastic belief method
• Credible and confidence sets for restricted parameter spaces
• Setting confidence intervals for bounded parameters
• The Dempster-Shafer calculus for statisticians
• Prior-free probabilistic interval estimation for binomial proportion
• The statistical analysis of Gaussian and Poisson signals near physical boundaries
• Inferential Models: A Framework for Prior-Free Posterior Probabilistic Inference
• Generalized Fiducial Inference via Discretization
• Marginal Inferential Models: Prior-Free Probabilistic Inference on Interest Parameters
• Conditional Inferential Models: Combining Information for Prior-Free Probabilistic Inference

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