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Bayesian linear prediction in finite populations
Authors:Heleno Bolfarine
Institution:(1) Instituto de Matematica e Estatistica, Universidade de São Paulo, Agencia Iguatemi, Caixa Postal 20570, 01498 São Paulo, Brasil
Abstract:In this paper, Bayesian linear prediction of the total of a finite population is considered in situations where the observation error variance is parameter dependent. Connections with least squares prediction (Royall (1976, J. Amer. Statist. Assoc., 71, 657–664)) in mixed linear models (Theil (1971, Principles of Econometrics, Wiley, New York)), are established. Extensions to the case of dynamic (state dependent) superpopulation models are also proposed.
Keywords:Bayes linear prediction  parameter dependent error variance  mixed linear model  dynamic superpopulation model
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