Pseudo-empirical Bayes estimation of small area means under a nested error linear regression model with functional measurement errors

DOI10.1016/j.jspi.2010.03.046zbMath1207.62011OpenAlexW2068279573MaRDI QIDQ988921

J. N. K. Rao, Mahmoud Torabi, Gauri Sankar Datta

Publication date: 19 August 2010

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2010.03.046

zbMATH Keywords

measurement errorasymptotic optimalityjackknifeBayes riskmean squared prediction errorpseudo-empirical Bayes predictor

Mathematics Subject Classification ID

Related Items (11)

Likelihood inference in generalized linear mixed measurement error models ⋮ Corrected empirical Bayes confidence region in a multivariate Fay-Herriot model ⋮ SMALL AREA ESTIMATION USING SURVEY WEIGHTS WITH FUNCTIONAL MEASUREMENT ERROR IN THE COVARIATE ⋮ Constrained Bayes estimation in small area models with functional measurement error ⋮ Small area estimation with multiple covariates measured with errors: a nested error linear regression approach of combining multiple surveys ⋮ Small area estimation under a measurement error bivariate Fay-Herriot model ⋮ A Fay-Herriot model when auxiliary variables are measured with error ⋮ Small area estimation under a semi‐parametric covariate measured with error ⋮ Bayesian Estimators for Small Area Models when Auxiliary Information is Measured with Error ⋮ Pseudo‐empirical Bayes estimation of small area means based on James–Stein estimation in linear regression models with functional measurement error ⋮ New important developments in small area estimation

Uses Software

• SDaA

Cites Work

• Small area estimation when auxiliary information is measured with error
• 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 in finite population sampling under functional measurement error models
• On Parametric Bootstrap Methods for Small Area Prediction
• Empirical and Hierarchical Bayesian Estimation in Finite Population Sampling under Structural Measurement Error Models
• Bootstrap mean squared error of a small-area EBLUP
• Empirical Bayes Estimation of Small Area Means under a Nested Error Linear Regression Model with Measurement Errors in the Covariates
• The Estimation of the Mean Squared Error of Small-Area Estimators
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