On the design-consistency property of hierarchical Bayes estimators in finite population sam\-pling

DOI10.1214/009053606000001262zbMath1117.62007arXiv0708.1890OpenAlexW2077280025MaRDI QIDQ995422

Kanchan Mukherjee, Parthasarathi Lahiri

Publication date: 3 September 2007

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.1890

zbMATH Keywords

small area estimationgeneralized linear mixed modelsdesign-consistencymathematical limit

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Asymptotic properties of nonparametric inference (62G20) Bayesian inference (62F15) Sampling theory, sample surveys (62D05)

Related Items (3)

Small area estimation of general parameters: Bayesian transformed spatial prediction approach ⋮ On the design-consistency property of hierarchical Bayes estimators in finite population sam\-pling ⋮ Comments on: ``Single and two-stage cross-sectional and time series benchmarking procedures for small area estimation

Cites Work

• On the design-consistency property of hierarchical Bayes estimators in finite population sam\-pling
• Bayesian prediction in linear models: Applications to small area estimation
• Pseudo hierarchical Bayes small area estimation combining unit level models and survey weights
• A unified jackknife theory for empirical best prediction with \(M\)-estimation
• Mixed model prediction and small area estimation. (With comments of P. Hall, D. Morales, C. N. Morris, J. N. K. Rao, and J. L. Eltinge)
• Empirical Bayes Estimation of Finite Population Means from Complex Surveys
• Bayesian Inference for Finite Population Parameters in Multistage Cluster Sampling
• Empirical Bayes Estimation in Finite Population Sampling
• The Estimation of the Mean Squared Error of Small-Area Estimators
• On the impact of bootstrap in survey sampling and small-area estimation
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