Extended fractional cumulative past and paired \(\phi\)-entropy measures

DOI10.1016/j.physa.2023.128552OpenAlexW4320487075MaRDI QIDQ2689680

Suchandan Kayal, Shital Saha

Publication date: 13 March 2023

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

Full work available at URL: https://arxiv.org/abs/2211.02858

zbMATH Keywords

logistic mapcoherent systeminverse Mittag-Leffler functionconditional EFCPEcumulative paired \(\phi\)-entropyEFCPEempirical EFCPE

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• Entropies based on fractional calculus
• On cumulative entropies
• Stochastic orders
• Diffusion entropy method for ultraslow diffusion using inverse Mittag-Leffler function
• Derivation of an amplitude of information in the setting of a new family of fractional entropies
• Possible generalization of Boltzmann-Gibbs statistics.
• Fractional generalized cumulative entropy and its dynamic version
• Complexity analysis of time series based on generalized fractional order cumulative residual distribution entropy
• An extension of weighted generalized cumulative past measure of information
• Fractional cumulative residual entropy
• On study of dynamic survival and cumulative past entropies
• Information Theory and Statistical Mechanics
• Cumulative Residual Entropy: A New Measure of Information
• On tail-ordering and comparison of failure rates
• On the convexity of some divergence measures based on entropy functions
• Bivariate extension of generalized cumulative past entropy
• Further results on the generalized cumulative entropy
• Uncertainty of financial time series based on discrete fractional cumulative residual entropy
• Bivariate extension of (dynamic) cumulative past entropy
• Results on the Fractional Cumulative Residual Entropy of Coherent Systems
• Extensive generalization of statistical mechanics based on incomplete information theory

This page was built for publication: Extended fractional cumulative past and paired \(\phi\)-entropy measures