Benchmarked empirical Bayes methods in multiplicative area-level models with risk evaluation

DOI10.1093/biomet/asv010zbMath1452.62221OpenAlexW2155462419MaRDI QIDQ3455812

Yuki Kawakubo, Malay Ghosh, Tatsuya Kubokawa

Publication date: 11 December 2015

Published in: Biometrika (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1a8f6c5e7829dd8c7391cc7c7b0ad0bb622de94c

zbMATH Keywords

second-order approximationKullback-Leibler divergencesmall area estimationparametric bootstrapFay-Herriot modelempirical Bayes estimatorhierarchical Bayes estimatorconstrained Bayes procedure

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Bayesian inference (62F15) Bootstrap, jackknife and other resampling methods (62F40) Empirical decision procedures; empirical Bayes procedures (62C12)

Related Items (11)

Small area estimation with mixed models: a review ⋮ The empirical Bayes estimators of the rate parameter of the inverse gamma distribution with a conjugate inverse gamma prior under Stein's loss function ⋮ The empirical Bayes estimators of the mean and variance parameters of the normal distribution with a conjugate normal-inverse-gamma prior by the moment method and the MLE method ⋮ Benchmarked linear shrinkage prediction in the Fay–Herriot small area model ⋮ Benchmarking techniques for reconciling Bayesian small area models at distinct geographic levels ⋮ The empirical Bayes estimators of the variance parameter of the normal distribution with a conjugate inverse gamma prior under Stein’s loss function ⋮ Arc-Sin Transformation for Binomial Sample Proportions in Small Area Estimation ⋮ The empirical Bayes estimators of the parameter of the Poisson distribution with a conjugate gamma prior under Stein's loss function ⋮ Transformed Fay-Herriot model with measurement error in covariates ⋮ Unnamed Item ⋮ Poisson counts, square root transformation and small area estimation

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