Improved Exponential Estimator for Population Variance Using Two Auxiliary Variables

TL;DR

This paper proposes new exponential estimators utilizing two auxiliary variables to improve the accuracy of population variance estimation, extending the approach to two-phase sampling with theoretical and empirical validation.

Contribution

Introduces novel exponential ratio and product estimators using two auxiliary variables, extending to two-phase sampling, with theoretical derivations and empirical validation.

Findings

Estimators outperform traditional methods in accuracy.

Theoretical properties are validated through empirical study.

Effective in two-phase sampling scenarios.

Abstract

In this paper exponential ratio and exponential product type estimators using two auxiliary variables are proposed for estimating unknown population variance $S_y^2$. Problem is extended to the case of two-phase sampling. Theoretical results are supported by an empirical study.