A General Family of Estimators for Estimating Population Mean in Systematic Sampling Using Auxiliary Information in the Presence of Missing Observations

TL;DR

This paper introduces a flexible family of estimators for population mean in systematic sampling, effectively handling non-response issues by adapting existing methods and demonstrating their properties through numerical examples.

Contribution

It develops a new, adaptable family of estimators for systematic sampling with non-response, extending prior work and analyzing their optimal properties.

Findings

The proposed estimators perform well in numerical illustrations.

The family of estimators includes existing methods as special cases.

Optimal properties of the estimators are established.

Abstract

This paper proposes a general family of estimators for estimating the population mean in systematic sampling in the presence of non-response adapting the family of estimators proposed by Khoshnevisan et al. (2007). In this paper we have discussed the general properties of the proposed family including optimum property. The results have been illustrated numerically by taking an empirical population considered in the literature.