Estimation of ratio of population means in two-occasion successive sampling

ABSTRACT

This article considers the problem of estimation of the ratio of population means at the current occasion based on the samples selected over two occasions. Using auxiliary information on both the occasions, some classes of estimators have been proposed. Properties of the proposed estimators have been studied and their respective optimum replacement strategies are discussed. The gains in efficiency of the proposed classes of estimators over the direct estimator where no past information is used are computed. Theoretical results have been interpreted through empirical studies which are followed by suitable recommendations.

KEYWORDS:

• Successive sampling
• Auxiliary information
• Chain-type
• Ratio
• Bias
• Mean square error
• Variance
• Optimum replacement policy

MATHEMATICS SUBJECT CLASSIFICATION:

• 62D05

Acknowledgments

The authors are thankful to the reviewers for their valuable suggestions.