An efficient effective rotation pattern in successive sampling over two occasions

ABSTRACT

This paper addresses the problem of estimating the population mean on the current occasion in two occasion successive sampling. Based on all the readily available information from first and second occasions, a class of estimators is proposed with its properties. It is identified that the estimator recently suggested by Singh and Homa (Journal of Statistical Theory and Practice, 7: 1, 146–155, 2013) is a member of the suggested class of estimators. The correct expression of the mean squared error/variance of the Singh and Homa (2013) estimator is given. The superiority of the suggested class of estimators is discussed with the sample mean estimator when there is no matching, the best combined estimator given in Cochran (1977, p.346) and Singh and Homa (2013) estimator. Optimum replacement policy has been discussed. Numerical illustration is given in support of the present study.

KEYWORDS:

• Efficiency
• Exponential-type estimator
• Optimum replacement policy
• Successive sampling

MATHEMATICS SUBJECT CLASSIFICATION:

• 62D05

Acknowledgments

The authors are thankful to the Editor-in-Chief, Prof. N. Balakrishnan, and the learned referees for their valuable suggestions and inspiring comments.