Estimation of population mean in two-occasion successive sampling

ABSTRACT

In the present article, we have proposed some classes of estimators based on transformed auxiliary variable. The biases and mean squared errors (MSEs) of the proposed estimators have been obtained. The proposed estimators have been compared with simple mean estimator when there is no matching and the optimum estimator, which is a combination of the means of the matched and unmatched portion of the sample at the second occasion. Optimum replacement policy and the efficiency of the proposed estimators have been discussed. Theoretical results are well supported with an empirical study.

KEYWORDS:

• Auxiliary variable
• Efficiency
• Mean squared error
• Study variable
• Successive sampling

ASM CLASSIFICATION:

• 62D05

Acknowledgments

The authors are grateful to the Editor-in-Chief Professor N. Balakrishnan and two unknown learned referees for their valuable suggestions regarding improvement of the earlier draft of the article.