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Asymptotic expansion of Bayes estimators for small diffusions
Authors:Nakahiro Yoshida
Affiliation:(1) The Institute of Statistical Mathematics, 4-6-7 Minami-Azabu, Minato-Ku, 106 Tokyo, Japan
Abstract:Summary Using the Malliavin calculus we derived asymptotic expansion of the distributions of the Bayes estimators for small diffusions. The second order efficiency of the Bayes estimator is proved.
Keywords:62M05  62F12  60H10
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