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Bulletin of Mathematical Statistics
Article . 1980 . Peer-reviewed
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BAYES RISKS OF ESTIMATORS OF ESTIMABLE PARAMETERS

Bayes risks of estimators of estimable parameters
Authors: Yamato, Hajime;

BAYES RISKS OF ESTIMATORS OF ESTIMABLE PARAMETERS

Abstract

For the estimable parameter of degree 2, throughout this paper, we consider 02 with h2 such that h2(x, x) and h2(x, x)=0 for any x, yEX. As estimators of estimable parameters, U-statistics and differentiable statistical functions are well known. (See, for example, Hoeffding (1948) and von Mises (1947).) For an estimable parameter of degree 1, the U-statistic is identical with the differ entiable statistical function, which is given by

Related Organizations
Keywords

Bayesian problems; characterization of Bayes procedures, Bayes estimates, Bayesian inference, estimable parameters, U-statistics, Dirichlet prior, Bayes risks

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
bronze