Comment on "critique of multinomial coefficient method for evaluating Tsallis and Rnyi entropies" by A.S. Parvan

Research output: Contribution to journalArticle

Abstract

Parvan [A.S. Parvan, Critique of multinomial coefficients method for evaluating Tsallis and Rnyi 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.

Original languageEnglish
Pages (from-to)781-784
Number of pages4
JournalPhysica A: Statistical Mechanics and its Applications
Volume390
Issue number5
DOIs
Publication statusPublished - Mar 1 2011
Externally publishedYes

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Multinomial Coefficients
Entropy
entropy
coefficients
Maximum Entropy
Demonstrate
Discrepancy
Probability Distribution

Keywords

  • Equilibrium statistical mechanics
  • Rnyi statistics
  • Tsallis statistics

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistics and Probability

Cite this

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title = "Comment on {"}critique of multinomial coefficient method for evaluating Tsallis and Rnyi entropies{"} by A.S. Parvan",
abstract = "Parvan [A.S. Parvan, Critique of multinomial coefficients method for evaluating Tsallis and Rnyi 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.",
keywords = "Equilibrium statistical mechanics, Rnyi statistics, Tsallis statistics",
author = "Thomas Oikonomou",
year = "2011",
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T1 - Comment on "critique of multinomial coefficient method for evaluating Tsallis and Rnyi entropies" by A.S. Parvan

AU - Oikonomou, Thomas

PY - 2011/3/1

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N2 - Parvan [A.S. Parvan, Critique of multinomial coefficients method for evaluating Tsallis and Rnyi 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.

AB - Parvan [A.S. Parvan, Critique of multinomial coefficients method for evaluating Tsallis and Rnyi 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.

KW - Equilibrium statistical mechanics

KW - Rnyi statistics

KW - Tsallis statistics

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