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Biometrika 1976 63(3):615-620; doi:10.1093/biomet/63.3.615
© 1976 by Biometrika Trust
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Some results on generalized difference estimation and generalized regression estimation for finite populations

CLAES M. CASSEL, CARL E. SÄRNDAL and JAN H. WRETMAN

National Central Bureau of Statistics Stockholm
Faculty of Commerce and Business Administration, University of British Columbia Vancouver
National Central Bureau of Statistics Stockholm

A superpopulation model is formulated under which the generalized difference estimator is optimal in an expected variance sense. The result is applied in the situation where an auxiliary variable is available and linear regression through the origin is assumed. A generalized regression estimator is proposed and shown to be better than a range of traditional competitors.

Key Words: Finite population • Generalized difference estimator • Generalized regression estimator • Regression model • Superpopulation


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