Empirical and hierarchical Bayesian estimation in finite population sampling under structural measurement error models

Malay Ghosh, Karabi Nandy, Dalho Kim

Research output: Contribution to journalArticle

27 Scopus citations

Abstract

This paper considers simultaneous estimation of means from several strata. A model-based approach is taken, where the covariates in the superpopulation model are subject to measurement errors. Empirical Bayes (EB) and Hierarchical Bayes estimators of the strata means are developed and asymptotic optimality of EB estimators is proved. Their performances are examined and compared with that of the sample mean in a simulation study as well as in data analysis.

Original languageEnglish
Pages (from-to)591-608
Number of pages18
JournalScandinavian Journal of Statistics
Volume33
Issue number3
DOIs
StatePublished - 1 Sep 2006

Keywords

  • Asymptotic optimality
  • Bayes risk
  • Consistency

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