Information Inequalities for the Bayes Risk
نویسندگان
چکیده
منابع مشابه
Inequalities for the Bayes Risk
Several inequalities are presented which, in part, generalize inequalities by Weinstein and Weiss, giving rise to new lower bounds for the Bayes risk under squared error loss. Consider a Bayesian setting in which y denotes the observed data and θ denotes an unknown scalar parameter. Suppose that E [ (θ − E(θ|y)) |y ] and E [ (θ − E(θ|y)) ] exist. For any estimator δ(y) of θ, E [ (θ − δ(y))|y ] ...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 1990
ISSN: 0090-5364
DOI: 10.1214/aos/1176347867