Optimal information, Jensen-RIG function and \(\alpha\)-Onicescu's correlation coefficient in terms of information generating functions

DOI10.1016/j.physa.2022.128362OpenAlexW4310733140MaRDI QIDQ2111652

Javier E. Contreras-Reyes, Omid Kharazmi, Narayanaswamy Balakrishnan

Publication date: 17 January 2023

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2022.128362

zbMATH Keywords

information generating functionrelative information generating function\(\alpha\)-mixture distributionOnicescu's correlation coefficient

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (1)

Jensen-Fisher information and Jensen-Shannon entropy measures based on complementary discrete distributions with an application to Conway's game of life

Cites Work

• A Mathematical Theory of Communication
• Rényi divergence measures for commonly used univariate continuous distributions
• Source coding with escort distributions and Rényi entropy bounds
• The relative information generating function
• On measures of information energy
• Possible generalization of Boltzmann-Gibbs statistics.
• Jensen-information generating function and its connections to some well-known information measures
• Rényi Divergence and Kullback-Leibler Divergence
• Divergence measures based on the Shannon entropy
• Connections of Gini, Fisher, and Shannon by Bayes risk under proportional hazards
• Geometric Modeling in Probability and Statistics
• The Burbea-Rao and Bhattacharyya Centroids
• Elements of Information Theory

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