Jensen-information generating function and its connections to some well-known information measures

DOI10.1016/j.spl.2020.108995zbMath1460.94028OpenAlexW3106581734MaRDI QIDQ2657979

Omid Kharazmi, Narayanaswamy Balakrishnan

Publication date: 18 March 2021

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

Full work available at URL: https://doi.org/10.1016/j.spl.2020.108995

zbMATH Keywords

Kullback-Leibler divergenceShannon entropyinformation generating functionJensen extropyJensen-Shannon entropy

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Measures of information, entropy (94A17) Information theory (general) (94A15)

Related Items (8)

Generating function for generalized Fisher information measure and its application to finite mixture models ⋮ Information generating function of \(k\)-record values and its applications ⋮ On reconsidering entropies and divergences and their cumulative counterparts: Csiszár's, DPD's and Fisher's type cumulative and survival measures ⋮ Cumulative and relative cumulative residual information generating measures and associated properties ⋮ Weighted fractional generalized cumulative past entropy and its properties ⋮ A novel method to generating two-sided class of probability distributions ⋮ Information generating function of record values ⋮ Optimal information, Jensen-RIG function and \(\alpha\)-Onicescu's correlation coefficient in terms of information generating functions

Cites Work

• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• Entropies based on fractional calculus
• Stochastic orders
• The relative information generating function
• Entropy of type \((\alpha,\beta)\) and other generalized measures in information theory
• On measures of information energy
• On the time-dependent Fisher information of a density function
• A Jensen-Gini measure of divergence with application in parameter estimation
• Some properties of generalized Fisher information in the context of nonextensive thermostatistics
• Quantile-based reliability analysis
• Fractional cumulative residual entropy
• On the dynamic cumulative residual entropy
• On the Equivalence Between Stein and De Bruijn Identities
• Divergence measures based on the Shannon entropy
• Energie informationnelle et notions apparentees
• Connections of Gini, Fisher, and Shannon by Bayes risk under proportional hazards
• Local Entropy Statistics for Point Processes
• Mixture Models, Bayes Fisher Information, and Divergence Measures
• On Information and Sufficiency

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