An Efficient Class of Exponential Chain Ratio Type Estimator for Finite Population Mean in Double Sampling

Abstract

This paper presents a class of exponential chain ratio type estimator in double sampling for estimating finite population mean of the study variable, when the information on another additional auxiliary variable is known along with the main auxiliary variable. The property of proposed class of estimator has been studied. Comparison has been made with other competitive estimators. The proposed estimator is found to be more efficient both theoretically and empirically.

A Generalized Approach for Estimation of a Finite Population Mean in Two-Phase Sampling

“…Malik and Tailor [8] suggested the following ratio estimator for Y in two-phase sampling by utilizing the information on correlation coefficient   YX  between the variables Y and X :…”

“…Considering the utility of two-phase sampling, various scientists and researchers have made their valuable contributions by formulating estimators for the population mean on utilizing the ratio, product and regression methods (for instance, Sukhatme [2], Srivastava [3], Sisodia and Dwivedi [4], Diana and Tommasi [5], Singh and Ruiz Espejo [6], Handique [7], Malik and Tailor [8], Vishwakarma and Kumar [9], Kumar and Vishwakarma [10], Kumar and Tiwari [11], Erinola et al [12], Kumar and Tiwari [13] and Oyeyemi et al [14].…”