Simulation Study of the Generalized Synthetic Estimator for Domain Mean in the Sample Survey
In this paper, we have proposed a generalized synthetic estimator for domain mean using two auxiliary characters and studied their properties. An empirical study has been considered for the real data of the Sweden municipalities (MU284) in Sarndal et al.((1992), appendix B). The proposed estimator is compared with generalized synthetic estimator for domain mean using single auxiliary character and ratio synthetic estimator for domain mean using two auxiliary characters in terms of Simulated Relative Standard Error (SRSE). The proposed estimator is found to perform better than the relevant estimators for which domain where synthetic assumption of the proposed estimator meet better than synthetic assumption of the relevant estimators.
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