Sharpening Jensen's Inequality

DOI10.1080/00031305.2017.1419145OpenAlexW2739485194WikidataQ60307281 ScholiaQ60307281MaRDI QIDQ5868196

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Publication date: 20 September 2022

Published in: The American Statistician (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.08644

zbMATH Keywords

Taylor seriespower mean inequalityRao-Blackwell estimatorJensen gap

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (8)

Refinements of Jensen's and McShane's inequalities with applications ⋮ T-SNE, forceful colorings, and mean field limits ⋮ Interpreting rate-distortion of variational autoencoder and using model uncertainty for anomaly detection ⋮ Refinements of Jensen's inequality via majorization results with applications in the information theory ⋮ New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization ⋮ An application of Ky Fan inequality: on Kullback-Leibler divergence between a probability distribution and its negation ⋮ Globally intensity-reweighted estimators for $K$- and pair correlation functions ⋮ A new bound for the Jensen gap pertaining twice differentiable functions with applications

Cites Work

• Unnamed Item
• A proof of Jensen's inequality
• Some new scales of refined Jensen and Hardy type inequalities
• On a Lower Bound for the Jensen Inequality
• Mean, What do You Mean?
• Some new estimates of the `Jensen gap'

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