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Some estimation procedures using a linear model in successive sampling
Authors:G N Singh  S Prasad
Institution:1. Department of Applied Mathematics, Indian School of Mines, Dhanbad, Indiagnsingh_ism@yahoo.com;3. Department of Applied Mathematics, Indian School of Mines, Dhanbad, India
Abstract:ABSTRACT

In successive sampling some recent works depict the use of super-population models where information on stable auxiliary variable over occasions has been utilized. Stability character of auxiliary variable may not sustain, if the duration between occasions is large. To cope with such situations, the present work is an attempt to develop some estimation procedures by utilizing the information on two independent auxiliary variables through a linear super-population model. Some estimators are proposed to estimate the current population mean in two occasions successive (rotation) sampling. Optimum replacement strategies are formulated and performances of the proposed estimators have been discussed. Results are interpreted through empirical studies.
Keywords:Successive sampling  Super-population  Auxiliary variable  Variance  Optimum replacement strategies
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