A General Procedure for Estimating Population Mean in Successive Sampling

Abstract

This article considers the problem of estimating population mean on the current (second) occasion using auxiliary information in successive sampling over two occasions. A class of estimators is defined with its properties. It is shown that the estimator envisaged by Singh (2005 Singh , G. N. ( 2005 ). On the use of chain-type ratio estimator in successive sampling . Statist. Transition 7 ( 1 ): 21 – 26 . [Google Scholar]) is a particular member of the proposed class of estimators. The superiority of the suggested class of estimators is discussed with sample mean estimator when there is no matching, the best combined estimator given in Cochran (1977 Cochran , W. G. ( 1977 ). Sampling Techniques. , 3rd ed. Wiley Eastern Limited . [Google Scholar], p. 346), Sukhatme et al. (1984 Sukhatme , P. V. , Sukhatme , B. V. , Sukhatme , S. , Ashok , C. ( 1984 ). Sampling Theory of Surveys with Applications . Ames, IA : Iowa State University Press . [Google Scholar], p. 249), Singh's (2005 Singh , G. N. ( 2005 ). On the use of chain-type ratio estimator in successive sampling . Statist. Transition 7 ( 1 ): 21 – 26 . [Google Scholar]) estimator, and Singh and Vishwakarma's (2007 Singh , H. P. , Vishwakarma , G. K. ( 2007 ). A general class of estimators in successive sampling . . LXV(2): 201 – 227 . [Google Scholar]) class of estimators. Optimum replacement policy has been discussed. Numerical illustration is also given.