A class of flat prior distributions for the Poisson‐gamma hierarchical model

DOI10.1111/STAN.12176OpenAlexW2924153030WikidataQ128190698 ScholiaQ128190698MaRDI QIDQ6067647

José A. A. Andrade, Gustavo L. Gilardoni, Unnamed Author

Publication date: 14 December 2023

Published in: Statistica Neerlandica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/stan.12176

zbMATH Keywords

reference priornoninformative priorJeffreys's priornegative binomial samplingexistence of posterior momentsproper posterior

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

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• Accuracy of posterior approximations via \(\chi^2\) and harmonic divergences
• Very accurate posterior approximations based on finite mixtures of the hyperparameters condi\-tionals
• Improper and proper posteriors with improper priors in a Poisson-gamma hierarchical model
• The asymptotic expansion of a ratio of gamma functions
• Sampling-Based Approaches to Calculating Marginal Densities
• Robust Empirical Bayes Analyses of Event Rates
• Reference priors with partial information
• The Selection of Prior Distributions by Formal Rules
• An invariant form for the prior probability in estimation problems
• Bayesian robustness modeling using regularly varying distributions

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