An Efficient Class of Estimators for the Mean of a Finite Population in Two-Phase Sampling Using Multi-Auxiliary Variates

Abstract

This paper presents an efficient class of estimators for estimating the population mean of the variate under study in two-phase sampling using information on several auxiliary variates. The expressions for bias and mean square error (MSE) of the proposed class have been obtained using Taylor series method. In addition, the minimum attainable MSE of the proposed class is obtained to the first order of approximation. The proposed class encompasses a wide range of estimators of the sampling literature. Efficiency comparison has been made for demonstrating the performance of the proposed class. An attempt has been made to find optimum sample sizes under a known fixed cost function. Numerical illustrations are given in support of theoretical findings.

Keywords

Auxiliary variate / Study variate / Two-phase sampling / Bias / MSE