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Convergence rates for empirical bayes estimators of parameters in multi-parameter exponential families
Authors:Hengqing Tong
Affiliation:Department of Mathematics and Physics , Wuhan University of Technology , Wuhan, Hubei, 430070, P.R. China
Abstract:This paper obtains the convergence rates of the empirical Bayes estimators of parameters in the multi-parameter exponential families. The rates can approximate to 0(n=1) arbitrarily. The paper presents the multivariate orthogonal polynomials which are continuous on the total space Rp.
Keywords:multi-parameter exponential family  orthogonal polynomial  kernel estimation of density  empirical Bayes  convergence rate
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