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Equivariant prediction in finite populations
Authors:Heleno Bolfarine
Institution:Instituto De Matemática E Estatística , Universidade De S?o Paulo , Caixa Postal, S?o Paulo, 20570, BrasilAgênda Iguatemi
Abstract:A theory of equivariant prediction is developed for predicting the population total in finite populations. Minimum risk equivariant predictors (MREP) are derived under the location, scale and locationscale superpopulation models. Under the general linear model, it is shown that the best(linear) unbiased predictor (B(L)UP) is an MREP.
Keywords:equivariant predictors  location  scale and locationscale superpopulation models  general linear models  pitman predictors
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