Synthetic Estimator for Domain Mean Using Auxiliary Character
Small area estimation (SAE) is an emerging field due to growing demand for reliable small area Statistics in sample surveys. In this paper, we have proposed a modified generalized synthetic estimator for the domain mean using auxiliary character. The proposed estimator is compared with the relevant estimators [for MU284 population given in appendix B of Sarndal et al.(1984)] and [for Absolute Relative Bias (ARB) and Simulated Relative Standard Error (SRSE) of the modified generalized synthetic estimator]. The study of Absolute Relative Bias (ARB) and Simulated Relative Standard Error (SRSE) [for MU284 population given in appendix B of Sarndal et al.(1984)] proves the superiority of the proposed estimator with relevant estimators based on an empirical study.
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