Ratio-Cum-Product Type Exponential Estimator of Finite Population Mean in Stratified Random Sampling

Abstract

This article addresses the problem of estimating the finite population mean in stratified random sampling using auxiliary information. Motivated by Singh (1967) and Bahl and Tuteja (1991) a ratio-cum-product type exponential estimator has been suggested and its bias and mean squared error have been derived under large sample approximation. Suggested estimator has been compared with usual unbiased estimator of population mean in stratified random sampling, combined ratio estimator, combined product estimator, ratio and product type exponential estimator of Singh et al. (2008). Conditions under which suggested estimator is more efficient than other considered estimators have been obtained. A numerical illustration is given in support of the theoretical findings.

Keywords:

• Bias
• Dual to ratio-cum-product estimator
• Finite population mean
• Mean squared error
• Stratified random sampling

Mathematics Subject Classification:

• 62D05

Acknowledgments

The authors are grateful to the reviewers for their constructive comments and valuable suggestions regarding improvement of the article.