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arxiv: 1401.5187 · v1 · pith:JVTHBK7Anew · submitted 2014-01-21 · 💻 cs.IT · math.IT· math.ST· stat.TH

Inequalities for the Bayes Risk

classification 💻 cs.IT math.ITmath.STstat.TH
keywords inequalitiesbayesriskboundserrorgeneralizegivingloss
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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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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Some Results on Tighter Bayesian Lower Bounds on the Mean-Square Error

    cs.IT 2019-07 unverdicted novelty 6.0

    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.