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Maximum entropy principle and power-law tailed distributions

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  • G. Kaniadakis

Abstract

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Suggested Citation

  • G. Kaniadakis, 2009. "Maximum entropy principle and power-law tailed distributions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 70(1), pages 3-13, July.
  • Handle: RePEc:spr:eurphb:v:70:y:2009:i:1:p:3-13
    DOI: 10.1140/epjb/e2009-00161-0
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    Citations

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    Cited by:

    1. Fabio CLEMENTI & Mauro GALLEGATI, 2017. "NEW ECONOMIC WINDOWS ON INCOME AND WEALTH: THE k-GENERALIZED FAMILY OF DISTRIBUTIONS," Journal of Social and Economic Statistics, Bucharest University of Economic Studies, vol. 6(1), pages 1-15, JULY.
    2. da Silva, Sérgio Luiz E.F. & Silva, R. & dos Santos Lima, Gustavo Z. & de Araújo, João M. & Corso, Gilberto, 2022. "An outlier-resistant κ-generalized approach for robust physical parameter estimation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).
    3. Kaiwei Liu & Xingcheng Wang & Zhihui Qu, 2019. "Train Operation Strategy Optimization Based on a Double-Population Genetic Particle Swarm Optimization Algorithm," Energies, MDPI, vol. 12(13), pages 1-26, June.
    4. McKeague, Ian W., 2015. "Central limit theorems under special relativity," Statistics & Probability Letters, Elsevier, vol. 99(C), pages 149-155.
    5. Giuseppe Gaetano Luciano, 2024. "Kaniadakis entropy in extreme gravitational and cosmological environments: a review on the state-of-the-art and future prospects," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(6), pages 1-13, June.
    6. Chami Figueira, F. & Moura, N.J. & Ribeiro, M.B., 2011. "The Gompertz–Pareto income distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(4), pages 689-698.
    7. Ramirez-Arellano, Aldo & Hernández-Simón, Luis Manuel & Bory-Reyes, Juan, 2021. "Two-parameter fractional Tsallis information dimensions of complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    8. de Lima, M.M.F. & Costa, M.O. & Silva, R. & Fulco, U.L. & Oliveira, J.I.N. & Vasconcelos, M.S. & Anselmo, D.H.A.L., 2024. "Viral proteins length distributions: A comparative analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    9. Sarabia, José María & Prieto, Faustino & Trueba, Carmen & Jordá, Vanesa, 2013. "About the modified Gaussian family of income distributions with applications to individual incomes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(6), pages 1398-1408.
    10. Stella, Massimo & Brede, Markus, 2014. "A κ-deformed model of growing complex networks with fitness," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 360-368.
    11. Asgarani, Somayeh, 2013. "A set of new three-parameter entropies in terms of a generalized incomplete Gamma function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 1972-1976.
    12. Vallejos, Adams & Ormazábal, Ignacio & Borotto, Félix A. & Astudillo, Hernán F., 2019. "A new κ-deformed parametric model for the size distribution of wealth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 819-829.
    13. Furuichi, Shigeru & Mitroi, Flavia-Corina, 2012. "Mathematical inequalities for some divergences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 388-400.
    14. Ervin Kaminski Lenzi & Luiz Roberto Evangelista & Luciano Rodrigues da Silva, 2023. "Aspects of Quantum Statistical Mechanics: Fractional and Tsallis Approaches," Mathematics, MDPI, vol. 11(12), pages 1-15, June.
    15. Qin, Xianan & Song, Congwei, 2021. "Towards understanding the non-Gaussian pore size distributions of nonwoven fabrics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).

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