Simultaneous estimation of several survey population parameters in complex surveys by Bayesian and classical methods

Subtitle:

Article type: Research Article

Authors: Dihidar, Kajal

Affiliations: Sampling and Official Statistics Unit, Indian Statistical Institute, Kolkata, India. E-mail: kajaldihidar@gmail.com; dkajal@isical.ac.in

Abstract: Estimation of the totals of some variables in a survey population can be improved using efficient model-based estimators of small area totals. Chaudhuri et al. [4] examined the relative accuracy in simultaneous estimation of total numbers of rural earners for some unorganized non-agricultural industries in an Indian district utilizing recent past data acquired by an Economic Census held in 1990 and Indian Population Census of 1991. As village wise earning members vary appreciably, the authors employed the methods of borrowing strength by the synthetic generalized regression method and also Empirical Bayes procedure. Herewith as an appropriate but simplistic unit level modeling we also bring in Hierarchical Bayes technique as a competitor. Our major empirical observation is that compared to the Empirical Bayes procedure the Hierarchical Bayes method seems more profitable, at least with a synthetic generalized regression estimator at the base, rather than classical model free design based alternative.

Keywords: Small area estimation, generalized regression, synthetic estimator, empirical bayes estimator, hierarchical Bayes method

DOI: 10.3233/MAS-140309

Journal: Model Assisted Statistics and Applications, vol. 10, no. 2, pp. 163-173, 2015