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 Singh, G.N., Homa, F. (2013). Effective rotation patterns in successive sampling over two – occasions. J. Stat. Theor. Pract. 7:146–155.Taylor & Francis Online] , Google Scholar]) 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 Cochran, W.G. (1977). Sampling Techniques. Third edition, New York: Wiley Eastern Limited. Google Scholar], p.346) and Singh and Homa (2013 Singh, G.N., Homa, F. (2013). Effective rotation patterns in successive sampling over two – occasions. J. Stat. Theor. Pract. 7:146–155.Taylor & Francis Online] , Google Scholar]) estimator. Optimum replacement policy has been discussed. Numerical illustration is given in support of the present study.