Generalized estimation strategy for mean estimation on current occasion in two-occasion rotation patterns

Abstract

In this paper, an efficient generalized estimation strategy has been proposed to present the problem of estimation of current population mean $\overline{Y}$ of study variable $y$ in two-occasion rotation sampling. The properties of the proposed estimation procedure have been deeply examined and its optimum replacement strategy is formulated. Empirical studies are carried out to show the superiority of the proposed estimator over the sample mean estimator, natural successive sampling estimator (when no auxiliary information is used) and some well-known recent contemporary estimators under various situations. Numerical results are given in support of the study and recommendations are also made to the survey practitioners.

KEYWORDS:

• Successive sampling
• Multi-auxiliary variables
• Bias
• Mean squared error
• Optimum replacement strategy
• Empirical study
• Percent relative efficiency

AMS subject classification:

• 62D05

Acknowledgments

Authors would like to convey their deep sense of indebtedness to the reviewers for their valuable suggestions, which helped us in preparing the improved version of the manuscript. Authors are also thankful to the IIT(ISM), Dhanbad, for providing financial support and necessary resources to carry out the present research work.