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

TL;DR

This paper refutes Parvan's critique of the generalized multinomial coefficients method for evaluating Tsallis and Renyi entropies, demonstrating that Parvan's arguments are incorrect and that the method's results are valid both mathematically and physically.

Contribution

The paper defends the validity of the GMC approach for entropy evaluation against Parvan's criticisms, clarifying misconceptions in the critique.

Findings

GMC method's results are mathematically consistent

GMC approach aligns with physical principles

Parvan's critique is shown to be incorrect

Abstract

Parvan [arXiv:0911.0383v1] [1] has recently presented some calculations in order to demonstrate the incorrectness of the results obtained from the generalized multinomial coefficients (GMC) presented in Ref. [2]. 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.