Nonparametric empirical bayes estimation of certain funtionals

Malay Ghosh · Communication in Statistics- Theory and Methods · 1985

For estimating functionals of the form ∫∫φ(x,y)dF(x) dF(y), nonparametric empirical Bayes estimators are developed which are competitors of the classical U-statistics. Asymptotic optimality of the proposed estimators is proved

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