Modified Direct Regression Estimator for Domain Mean Using Auxiliary Character

In this paper, we have proposed a modified direct regression estimator for domain mean using auxiliary character in two cases, in the first case, domain mean of auxiliary character (X) over bar (a) is known, and in the second case, domain mean of the auxiliary character (X) over bar (a) is not known. The proposed estimator for domain mean is compared theoretically with direct ratio estimator for domain mean and direct regression estimator for domain mean in two cases. An empirical study of the proposed estimator is compared with direct ratio estimator for domain mean and direct regression estimator for domain mean using data Samdal ((1992), appendix B) and also through simulation study. The proposed estimator is found to be more efficient than relevant estimators theoretically, empirical and also through simulation in both cases.