On Conditional Tsallis Entropy [PDF]
Entropy, 2021 There is no generally accepted definition for conditional Tsallis entropy. The standard definition of (unconditional) Tsallis entropy depends on a parameter α that converges to the Shannon entropy as α approaches 1.
Andreia Teixeira +2 more
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Further Properties of Tsallis Entropy and Its Application [PDF]
Entropy, 2023 The entropy of Tsallis is a different measure of uncertainty for the Shannon entropy. The present work aims to study some additional properties of this measure and then initiate its connection with the usual stochastic order. Some other properties of the
Ghadah Alomani, Mohamed Kayid
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Some New Results Involving Past Tsallis Entropy of Order Statistics [PDF]
Entropy, 2023 This work focuses on exploring the properties of past Tsallis entropy as it applies to order statistics. The relationship between the past Tsallis entropy of an ordered variable in the context of any continuous probability law and the past Tsallis ...
Mansour Shrahili, Mohamed Kayid
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On uniqueness theorems for Tsallis entropy and Tsallis relative entropy [PDF]
IEEE Transactions on Information Theory, 2005 The uniqueness theorem for Tsallis entropy was presented in {\it H.Suyari, IEEE Trans. Inform. Theory, Vol.50, pp.1783-1787 (2004)} by introducing the generalized Shannon-Khinchin's axiom.
Furuichi, Shigeru
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Kernel Estimation of Cumulative Residual Tsallis Entropy and Its Dynamic Version under ρ-Mixing Dependent Data [PDF]
Entropy, 2021 Tsallis introduced a non-logarithmic generalization of Shannon entropy, namely Tsallis entropy, which is non-extensive. Sati and Gupta proposed cumulative residual information based on this non-extensive entropy measure, namely cumulative residual ...
Muhammed Rasheed Irshad +3 more
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On the Exact Variance of Tsallis Entanglement Entropy in a Random Pure State
Entropy, 2019 The Tsallis entropy is a useful one-parameter generalization to the standard von Neumann entropy in quantum information theory. In this work, we study the variance of the Tsallis entropy of bipartite quantum systems in a random pure state.
Lu Wei
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Special Issue: Tsallis Entropy [PDF]
Entropy, 2012 One of the crucial properties of the Boltzmann-Gibbs entropy in the context of classical thermodynamics is extensivity, namely proportionality with the number of elements of the system.
Anastasios Anastasiadis
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Fundamental properties of Tsallis relative entropy [PDF]
Journal of Mathematical Physics, 2004 Fundamental properties for the Tsallis relative entropy in both classical and quantum systems are studied. As one of our main results, we give the parametric extension of the trace inequality between the quantum relative entropy and the minus of the ...
Abe S. +19 more
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A Direct Link between Rényi–Tsallis Entropy and Hölder’s Inequality—Yet Another Proof of Rényi–Tsallis Entropy Maximization [PDF]
Entropy, 2019 The well-known Hölder’s inequality has been recently utilized as an essential tool for solving several optimization problems. However, such an essential role of Hölder’s inequality does not seem to have been reported in the context ...
Hisa-Aki Tanaka +2 more
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Tsallis Entropy in Consecutive k-out-of-n Good Systems: Bounds, Characterization, and Testing for Exponentiality [PDF]
EntropyThis study explores the application of Tsallis entropy in evaluating uncertainty within the framework of consecutive k-out-of-n good systems, which are widely utilized in various reliability and engineering contexts.
Anfal A. Alqefari +2 more
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