Generalized entropic structures and non-generality of Jaynes’ Formalism
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DOI: 10.1016/j.chaos.2009.04.015
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- Jizba, Petr & Arimitsu, Toshihico, 2006. "Towards information theory for q-nonextensive statistics without q-deformed distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(1), pages 76-84.
- Lenzi, E.K. & Mendes, R.S. & da Silva, L.R., 2000. "Statistical mechanics based on Renyi entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 280(3), pages 337-345.
- Oikonomou, Th., 2007. "Properties of the “non-extensive Gaussian” entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 155-163.
- Oikonomou, Th., 2007. "Tsallis, Rényi and nonextensive Gaussian entropy derived from the respective multinomial coefficients," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 119-134.
- Tsallis, Constantino & Mendes, RenioS. & Plastino, A.R., 1998. "The role of constraints within generalized nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 534-554.
- Borges, Ernesto P., 2004. "A possible deformed algebra and calculus inspired in nonextensive thermostatistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 95-101.
- Gorban, Pavel, 2003. "Monotonically equivalent entropies and solution of additivity equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 328(3), pages 380-390.
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