Calibration estimation of mean by using double use of auxiliary information

Abstract

In the survey sampling, when the study and auxiliary variables are tolerably correlated, the ranks of an auxiliary variable also relate mutually with the study variable and thus by using these ranks as a valid mechanism, increases the accuracy of an estimator. In the current study, an enhanced estimator of the finite population mean is proposed that uses the ancillary information in form of the ranks of the auxiliary variable in stratified sampling design. Simulated as well as empirical evidence is provided for the efficiency confirmation of proposed estimators.

Keywords:

• Auxiliary information
• Calibration
• Percent relative efficiency
• Ranks
• Stratified sampling

Acknowledgments

The authors are heartily thankful to the Editor in Chief: Dr. N. Balakrishnan and the learned referee(s) for fruitful and constructive comments to bring this paper in the final form. The authors are also grateful to Dr. Sarjinder Singh for his kind suggestions.