An extended class of minimax generalized Bayes estimators of regression coefficients

Mathematics – Statistics Theory

Scientific paper

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Scientific paper

10.1016/j.jmva.2009.06.001

We derive minimax generalized Bayes estimators of regression coefficients in
the general linear model with spherically symmetric errors under invariant
quadratic loss for the case of unknown scale. The class of estimators
generalizes the class considered in Maruyama and Strawderman (2005) to include
non-monotone shrinkage functions.

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