Bayesian information in an experiment and the Fisher information distance

DOI10.1016/j.spl.2016.01.014zbMath1384.62020OpenAlexW2288649930MaRDI QIDQ273766

Stephen G. Walker

Publication date: 22 April 2016

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2016.01.014

zbMATH Keywords

informationShannon entropyBayesian design

Mathematics Subject Classification ID

Bayesian inference (62F15) Bayesian problems; characterization of Bayes procedures (62C10) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)

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Cites Work

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• A Mathematical Theory of Communication
• Pseudo-Bayesian \(A\)-optimal designs for estimating the point of maximum in component-amount Darroch-Waller mixture model
• Bounds on the deficit in the logarithmic Sobolev inequality
• Fisher information inequalities and the central limit theorem
• Applications of the van Trees inequality: A Bayesian Cramér-Rao bound
• On a Measure of the Information Provided by an Experiment
• On Two Forms of Fisher's Measure of Information