Inequalities for the Bayes Risk
Asaf Weinstein, Ehud Weinstein
TL;DR
This paper introduces new inequalities that extend existing bounds, providing improved lower bounds for the Bayes risk in the context of squared error loss, enhancing understanding of estimation limits.
Contribution
It generalizes previous inequalities to establish new lower bounds for the Bayes risk under squared error loss, advancing theoretical insights.
Findings
New inequalities for Bayes risk bounds
Generalization of Weinstein and Weiss inequalities
Enhanced lower bounds for squared error loss
Abstract
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.
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Taxonomy
TopicsStatistical Methods and Inference · Bayesian Modeling and Causal Inference · Advanced Statistical Methods and Models