Estimation of the Population Mean in Presence of Non-Response

Abstract

In this paper following Singh et al. (2008), we propose a modified ratio-product type exponential estimator to estimate the finite population mean <TEX>$\={Y}$</TEX> of the study variable y in presence of non-response in different situations viz. (i) population mean <TEX>$\={X}$</TEX> is known, and (ii) population mean <TEX>$\={X}$</TEX> is unknown. The expressions of biases and mean squared error of the proposed estimators have been obtained under large sample approximation using single as well as double sampling. Some realistic conditions have been obtained under which the proposed estimator is more efficient than usual unbiased estimators, ratio estimators, product estimators and exponential ratio and product estimators reported by Rao (1986) and Singh et al. (2010) are found to be more efficient in many situations.