Two-phase sampling in estimation of population mean in the presence of non-response

TL;DR

This paper develops and analyzes two-phase sampling estimators for population mean in simple random sampling with non-response, incorporating auxiliary variables and theoretical as well as empirical validation.

Contribution

It introduces a new class of estimators using auxiliary variables under non-response with two-phase sampling when auxiliary mean is unknown.

Findings

Theoretical properties of the proposed estimators are established.

Empirical results support the effectiveness of the estimators.

The estimators outperform existing methods in certain scenarios.

Abstract

The present paper presents the detail discussion on estimation of population mean in simple random sampling in the presence of non-response. Motivated by Gupta and Shabbir (2008), we have suggested the class of estimators of population mean using an auxiliary variable under non-response. A theoretical study is carried out using two-phase sampling scheme when the population mean of auxiliary variable is not known. An empirical study has also been done in the support of theoretical results.