Predictive estimation of population mean in two-phase sampling. Issue 14 (17th July 2016)

• Record Type: Journal Article
• Authors: Bandyopadhyay, A.; Singh, G.N.
• Is Part Of: Communications in statistics. Volume 45:Issue 14(2016)
• Page Start: 4249
• Page End: 4267
• Publication Date: 2016-07-17
• Subjects: Auxiliary variable -- Bias -- Chain-type -- Double sampling -- Mean square error -- Predictive approach -- Regression type -- Study variable -- Variance; 62D05; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2014.919396
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: The present investigation deals with the problem of estimation of population mean in two-phase sampling. In the presence of two auxiliary variables, some classes of estimators have been proposed through predictive approach. Properties of the proposed classes of estimators have been studied, and the unbiased versions of these estimators along with their approximate variance expressions are obtained under simple random sampling without replacement scheme. The respective optimum strategies of the proposed estimators are discussed, and their empirical and graphical comparisons with some contemporary estimators of population mean have been made. Suitable recommendations to the survey practitioner are given.