An efficient ratio estimator of population means under double sampling technique using information on auxiliary attribute

This paper provides the estimation of population mean under double sampling, using supplementary information in the form of an attribute (that is, a proportion of the population possessing an attribute highly correlated with the study variable). A generalized efficient family of ratio estimator of the population mean is suggested and expressions for the bias and the mean square error of the estimator, as well as the minimum value are obtained. The proposed estimator has an improvement over some existing estimators when compared numerically using a natural population data and therefore provides a better substitute for the purpose of estimation.