Generalized chain ratio in regression estimators for population mean in the presence of non-response

Two generalized chain ratio in regression estimators for population mean using two auxiliary characters in the presence of non-response have been proposed and their properties have been studied. Relative efficiency of the proposed estimators are obtained in the case of fixed first phase sample, second phase sample and sub-sample fraction and also in the case of the fixed cost. Comparison of the proposed estimators has been carried out with the relevant estimators. Expected cost is also obtained in the case of the specified variance. The performance of the proposed estimators in comparison to the relevant estimators has been made with the help of empirical study.