Asymptotic comparison of some Bayesian information bounds

DOI10.1080/03610926.2020.1752722OpenAlexW3018816229MaRDI QIDQ5079259

Ken-Ichi Koike

Publication date: 25 May 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2020.1752722

zbMATH Keywords

Bayes riskCramér-Rao type boundBhattacharyya type boundBorovkov-Sakhanenko boundGill-Levit boundvan Trees bound

Mathematics Subject Classification ID

Point estimation (62F10) Bayesian inference (62F15) Statistics (62-XX)

Cites Work

• Information inequalities for the Bayes risk
• An information inequality for the Bayes risk
• Applications of the van Trees inequality: A Bayesian Cramér-Rao bound
• Bhattacharyya-Type Information Inequality for the Bayes Risk
• On asymptotic Borovkov–Sakhanenko inequality with unbounded parameter set
• An Integral Bhattacharyya Type Bound for the Bayes Risk
• A lower bound for the bayes risk in the sequential case
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