Dual To Ratio Cum Product Estimator In Stratified Random Sampling

TL;DR

This paper proposes a dual to ratio-cum-product estimator for stratified random sampling, deriving its mean square error and validating the approach with a numerical example.

Contribution

It introduces a new estimator in stratified sampling that combines ratio and product methods, with theoretical error analysis and practical validation.

Findings

Derived mean square error expressions for the estimator

Theoretical results supported by numerical example

Improved estimation accuracy in stratified sampling

Abstract

Tracy et al.[8] have introduced a family of estimators using Srivenkataramana and Tracy ([6],[7]) transformation in simple random sampling. In this article, we have proposed a dual to ratio-cum-product estimator in stratified random sampling. The expressions of the mean square error of the proposed estimators are derived. Also, the theoretical findings are supported by a numerical example.