Some calibration estimators for finite population mean in two-stage stratified random sampling

Abstract

In the present article, an effort has been made to develop calibration estimators of the population mean under two-stage stratified random sampling design when auxiliary information is available at primary stage unit (psu) level. The properties of the developed estimators are derived in-terms of design based approximate variance and approximate consistent design based estimator of the variance. Some simulation studies have been conducted to investigate the relative performance of calibration estimator over the usual estimator of the population mean without using auxiliary information in two-stage stratified random sampling. Proposed calibration estimators have outperformed the usual estimator without using auxiliary information.

Keywords:

• Calibration approach
• calibration estimator
• auxiliary information
• two-stage sampling
• stratified random sampling

Acknowledgments

The authors are very much thankful to the referee for his/her valuable suggestions which has brought out considerable improvement in the earlier manuscript of the article.