On Improved Estimation of Population Mean using Qualitative Auxiliary Information

Abstract

This paper deals with the estimation of population mean of the variable under study by improved ratio-product type exponential estimator using qualitative auxiliary information. The expression for the bias and mean squared error (MSE) of the proposed estimators has been derived to the first order of approximation. A comparative approach has been adopted to study the efficiency of proposed and previous estimators. The present estimators provide us significant improvement over previous estimators leading to the better perspective of application in various applied areas. The numerical demonstration has been presented to elucidate the novelty of paper.

Keywords: Exponential estimator, auxiliary attribute, Proportion, bias, mean squared error, efficiency.

Mathematics Subject Classification 2010: 62D05