Empirical and Hierarchical Bayesian Estimation in Finite Population Sampling under Structural Measurement Error Models

By Malay Ghosh, Karabi Sinha, D. Kim. 2006

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Empirical Bayes Estimation of Small Area Means under a Nested Error Linear Regression Model with Measurement Errors in the Covariates (2009, methodology): “In a pioneering paper, Ghosh et al. (2006), henceforth abbreviated GSK, proposed a nested error linear regression population model with an area-level covariate, x, subject to measurement error.”
Bayesian Estimators for Small Area Models when Auxiliary Information is Measured with Error (2015, methodology): “We note that a Bayesian approach to unit-level model with measurement error in the covariates has been considered in Ghosh et al. (2006), Ghosh & Sinha (2007), Torabi et al. (2009), Datta et al. (2010) and Arima et al. (2012).”