Introduces posterior-based Bayesian lower bounds that are at least as tight as Weiss-Weinstein bounds, with a definition of efficiency for the Bayesian Cramér-Rao bound and proofs of asymptotic tightness in an example.
Inequalities for the Bayes Risk
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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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cs.IT 1years
2019 1verdicts
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Some Results on Tighter Bayesian Lower Bounds on the Mean-Square Error
Introduces posterior-based Bayesian lower bounds that are at least as tight as Weiss-Weinstein bounds, with a definition of efficiency for the Bayesian Cramér-Rao bound and proofs of asymptotic tightness in an example.