Bayesian Estimators for Small Area Models when Auxiliary Information is Measured with Error

DOI10.1111/SJOS.12120zbMath1372.62001OpenAlexW1919862818MaRDI QIDQ5251492

Brunero Liseo, Gauri Sankar Datta, Serena Arima

Publication date: 20 May 2015

Published in: Scandinavian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sjos.12120

zbMATH Keywords

Markov chain Monte Carlomeasurement errornon-informative priorshierarchical Bayesian modellingFay and Herriot model

Mathematics Subject Classification ID

Bayesian inference (62F15) Sampling theory, sample surveys (62D05) Empirical decision procedures; empirical Bayes procedures (62C12)

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Cites Work

• Small area estimation when auxiliary information is measured with error
• New important developments in small area estimation
• Pseudo-empirical Bayes estimation of small area means under a nested error linear regression model with functional measurement errors
• Objective Bayesian analysis of a measurement error small area model
• Empirical Bayes estimation in finite population sampling under functional measurement error models
• Empirical and Hierarchical Bayesian Estimation in Finite Population Sampling under Structural Measurement Error Models
• Empirical Bayes Estimation of Small Area Means under a Nested Error Linear Regression Model with Measurement Errors in the Covariates
• Model Selection by Testing for the Presence of Small-Area Effects, and Application to Area-Level Data

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