Proper Bayes minimax estimation of parameters of Poisson distributions in the presence of unbalanced sample sizes

DOI10.1214/19-BJPS459zbMath1467.62044OpenAlexW3088017947MaRDI QIDQ2032325

Y. Hamura, Tatsuya Kubokawa

Publication date: 11 June 2021

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjps/1601020816

zbMATH Keywords

Bayes estimationminimaxitydominanceadmissibilityshrinkage priormortality ratiounbalanced sample sizes

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Bayesian inference (62F15) Minimax procedures in statistical decision theory (62C20) Reliability and life testing (62N05)

Related Items

Bayesian shrinkage approaches to unbalanced problems of estimation and prediction on the basis of negative multinomial samples, Bayesian shrinkage estimation of negative multinomial parameter vectors

Cites Work

• Simultaneous prediction for independent Poisson processes with different durations
• Simultaneous estimation of parameters under entropy loss
• Simultaneous estimation of Poisson means under entropy loss
• Bayes minimax estimation of multiple Poisson parameters
• Simultaneous estimation of several Poisson parameters under k-normalized squared error loss
• Improving upon standard estimators in discrete exponential families with applications to Poisson and negative binomial cases
• A natural identity for exponential families with applications in multiparameter estimation
• Simultaneous estimation of parameters of Poisson distributions with unbalanced sample sizes
• Multiparameter estimation of discrete exponential distributions
• Simultaneous Estimation of the Means of Independent Poisson Laws
• Parametric Empirical Bayes Inference: Theory and Applications