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math.ST2021
A Note on Consistency of the Bayes Estimator of the Density
A. G. Nogales
Under mild conditions, it is shown the strong consistency of the Bayes estimator of the density. Moreover, the Bayes risk (for some common loss functions) of the Bayes estimator of…
math.ST2021
Optimal Bayesian Estimation of a Regression Curve, a Conditional Density and a Conditional Distribution
A. G. Nogales
In this paper several related estimation problems are addressed from a Bayesian point of view and optimal estimators are obtained for each of them when some natural loss functions…