A reducible product-type estimator in two-phase sampling using an additional auxiliary variable

Abstract

The objective of this paper is to develop product methods of estimating population means under two-phase sampling framework when information on an additional (second) auxiliary is readily available. This issue has been addressed by introducing a new approach, called a Redesigned Approach that brought out a reducible (generalized) product-type estimator comprising a family/class of estimators. Efficiency comparisons of some specific selected estimators of the class together with the classical two-phase product estimator have been made. Some design-based properties of the proposed estimator have also been investigated and finally an empirical study has been included to understand the effectiveness of the proposed estimation technique quantitatively.