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- W188173759 abstract "In [9] Pitoher introduced a notion of oompactness of statistical structures. He showed, among others, that the compactness implies the existence of a minimal complete class of estimators. Pitcher assumed that the loss function L(x,P) is of the form $$Lleft( {x,P} right) = left| {x - gleft( P right)} right|^p , 1 < p < infty ,$$where x ϵ R1, g(·) is a bounded function on a considered set of probability measures. Moreover, he assumed that the set of considered estimators consists of those functions which have norms in Lp(P) uniformly bounded with respeot to P. Pitoher showed that σ-dominated statistical structures are compact whereas Eusama and Yamada [7] showed that discrete statistical structures are compact." @default.
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- W188173759 date "1981-01-01" @default.
- W188173759 modified "2023-09-25" @default.
- W188173759 title "On the Existence of Minimal Complete Classes of Estimators" @default.
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- W188173759 doi "https://doi.org/10.1007/978-1-4612-5934-3_13" @default.
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