Estimation of Finite Population Mean in Stratified Random Sampling with Two Auxiliary Variables under Double Sampling Design

Abstract

In this article, a chain ratio-product type exponential estimator is proposed for estimating finite population mean in stratified random sampling with two auxiliary variables under double sampling design. Theoretical and empirical results show that the proposed estimator is more efficient than the existing estimators, i.e., usual stratified random sample mean estimator, Chand (1975) chain ratio estimator, Choudhary and Singh (2012) estimator, chain ratio-product-type estimator, Sahoo et al. (1993) difference type estimator, and Kiregyera (1984) regression-type estimator. Two data sets are used to illustrate the performances of different estimators.

Keywords:

• Stratified random sampling
• Double sampling
• Auxiliary variables
• Bias
• MSE
• Efficiency

Mathematics Subject Classification:

• 62D05
• 62P20

Acknowledgments

The authors are thankful to the three learned referees for their valuable suggestions which helped to improve this article.