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Bias of S 2 in Linear Regressions with Dependent Errors
Authors:Jean-Marie Dufour
Institution:1. Département de Sciences économiques , Université de Montréal , C.P. 6128, Succursale A, Montréal , Québec , H3C 3J7 , Canada;2. Université Catholique de Louvain , 34 voie du Roman Pays, 1348 Louvainla-Neuve, Belgium
Abstract:Bounds are given for the expected value of the estimator of the error variance in linear regressions, when the errors are dependent or heteroscedastic. The bounds are valid irrespective of the covariance structure between the errors. Necessary and sufficient conditions to attain the bounds are supplied.
Keywords:Variance estimation  Heteroscedastic errors  Bound on bias
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