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

DOI10.1007/s42081-021-00141-zOpenAlexW3217456152MaRDI QIDQ2166018

Y. Hamura

Publication date: 23 August 2022

Published in: Japanese Journal of Statistics and Data Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.03141

zbMATH Keywords

dominancemultinomial distributioninverse samplingnegative multinomial distributionunbalanced modelsBayesian procedurespoint and predictive density estimation

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

• Simultaneous prediction for independent Poisson processes with different durations
• Construction of improved estimators in multiparameter estimation for discrete exponential families
• Simultaneous estimation in discrete multivariate exponential families
• Multiparameter estimation for some multivariate discrete distributions with possibly dependent components
• 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 prediction of independent Poisson observables
• Intrinsic losses
• Asymptotically minimax Bayesian predictive densities for multinomial models
• Bayesian predictive distribution for a negative binomial model
• Proper Bayes minimax estimation of parameters of Poisson distributions in the presence of unbalanced sample sizes
• Bayesian shrinkage estimation of negative multinomial parameter vectors
• Multivariate estimation of Poisson parameters
• Simultaneous estimation of parameters of Poisson distributions with unbalanced sample sizes
• A class of proper priors for Bayesian simultaneous prediction of independent Poisson observ\-a\-bles
• Negative multinomial distribution
• A shrinkage predictive distribution for multivariate Normal observables
• Robustness of Clevenson-Zidek-Type Estimators
• Further Developments on the Robustness of Clevenson-Zidek-Type Means Estimators
• Estimation of poisson means under weighted squared error loss
• Multiparameter estimation of discrete exponential distributions
• Simultaneous Estimation of the Means of Independent Poisson Laws
• Goodness of prediction fit
• Compound poisson distributions: Properties and estimation*
• Bayesian predictive distribution for a Poisson model with a parametric restriction
• New types of shrinkage estimators of Poisson means under the normalized squared error loss

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