Predictive estimation of population mean in two-phase sampling |
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Authors: | A Bandyopadhyay GN Singh |
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Institution: | 1. Department of Mathematics, Asansol Engineering College, Asansol, West Bengal, Indiaarnabbandyopadhyay4@gmail.com;3. Department of Applied Mathematics, Indian School of Mines, Dhanbad, Jharkhand, India |
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Abstract: | ABSTRACTThe 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. |
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Keywords: | Auxiliary variable Bias Chain-type Double sampling Mean square error Predictive approach Regression type Study variable Variance |
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