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Comment on “Critique of multinomial coefficient method for evaluating Tsallis and Rényi entropies” by A.S. Parvan

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  • Oikonomou, Thomas

Abstract

Parvan [A.S. Parvan, Critique of multinomial coefficients method for evaluating Tsallis and Rényi entropies, Physica A 389 (2010) 5645] has recently presented some calculations in order to demonstrate the incorrectness of the results obtained from the generalized multinomial coefficients (GMC) presented in Oikonomou (2007) [1]. According to Parvan, the aforementioned approach of studying maximum entropy probability distributions is erroneous. In this comment I demonstrate that Parvan’s arguments do not hold true and that the obtained results from GMC do not present either mathematical or physical discrepancies.

Suggested Citation

  • Oikonomou, Thomas, 2011. "Comment on “Critique of multinomial coefficient method for evaluating Tsallis and Rényi entropies” by A.S. Parvan," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(5), pages 781-784.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:5:p:781-784
    DOI: 10.1016/j.physa.2010.11.003
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    References listed on IDEAS

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    1. Suyari, Hiroki, 2006. "Mathematical structures derived from the q-multinomial coefficient in Tsallis statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(1), pages 63-82.
    2. 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.
    3. Parvan, A.S., 2010. "Critique of multinomial coefficients method for evaluating Tsallis and Rényi entropies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5645-5649.
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