Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1148576 | Journal of Statistical Planning and Inference | 2007 | 15 Pages |
Abstract
The paper considers simultaneous estimation of finite population means for several strata. A model-based approach is taken, where the covariates in the super-population model are subject to measurement errors. Empirical Bayes (EB) estimators of the strata means are developed and an asymptotic expression for the MSE of the EB estimators is provided. It is shown that the proposed EB estimators are “first order optimal” in the sense of Robbins [1956. An empirical Bayes approach to statistics. In: Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, vol. 1, University of California Press, Berkeley, pp. 157–164], while the regular EB estimators which ignore the measurement error are not.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Malay Ghosh, Karabi Sinha,