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An application of a minimax Bayes rule and shrinkage estimators to the portofolio selection problem under the Bayesian approach
Authors:Hiroyuki Kashima
Affiliation:(1) School of Management, Aoyama Gakuin University, 4-4-25 Shibuya, Shibuya-ku, 150-8366 Tokyo, Japan
Abstract:This paper shows that a minimax Bayes rule and shrinkage estimators can be effectively applied to portfolio selection under the Bayesian approach. Specifically, it is shown that the portfolio selection problem can result in a statistical decision problem in some situations. Following that, we present a method for solving a problem involved in portfolio selection under the Bayesian approach.
Keywords:portfolio selection problem  maximization of expected utility  Bayesian approach  minimax Bayes rule  shrinkage estimator
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