A family of estimators of population variance in two-occasion rotation patterns. Issue 14 (17th July 2016)

• Record Type: Journal Article
• Authors: Singh, Housila P.; Kim, Jong M.; Tarray, Tanveer A.
• Is Part Of: Communications in statistics. Volume 45:Issue 14(2016)
• Page Start: 4106
• Page End: 4116
• Publication Date: 2016-07-17
• Subjects: Bias -- Mean square error -- Optimum replacement policy -- Successive (rotation) sampling -- Variance estimation; 62D05; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2014.915047
• Languages: English
• ISSNs: 0361-0926

Abstract

Abstract: In this article, we have considered the problem of estimation of population variance on current (second) occasion in two occasion successive (rotation) sampling. A class of estimators of population variance has been proposed and its asymptotic properties have been discussed. The proposed class of estimators is compared with the sample variance estimator when there is no matching from the previous occasion and the Singh et al. (2013) estimator. Optimum replacement policy is discussed. It has been shown that the suggested estimator is more efficient than the Singh et al. (2013) estimator and a usual unbiased estimator when there is no matching. An empirical study is carried out in support of the present study.