Nonparametric bayes estimates of estimable parameters with a dirichlet invarant process and inveriant u-statistics

Hajime Yamato · Communication in Statistics- Theory and Methods · 1987

Tne Bayes estimates of estimable parameters of arbitrary degree in the one sample case are obtained against a Dirichlet invariant. process prior and the squared error loss. We also oive the limits of Bayes estimates, which are related to the in- a- variant U-statistics. For a fixed distribution, the limits of Bayes estimates have the asymptotic normal distribution under certain conditjons.

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