# Comment on "R\'enyi entropy yields artifficial biases not in the data and incorrect updating due to the infinite-size data"

## TL;DR

This paper critiques a previous claim that Rényi entropy violates Shore-Johnson axioms, clarifying misconceptions and demonstrating that, when properly analyzed, Rényi entropy remains consistent with these axioms.

## Contribution

The authors identify and correct errors in prior reasoning, showing Rényi entropy does not violate Shore-Johnson axioms when properly evaluated.

## Key findings

- Rényi entropy is consistent with Shore-Johnson axioms after correcting previous errors
- Misinterpretations led to false claims of violations in earlier work
- Proper analysis confirms Rényi entropy's suitability for inference

## Abstract

In their recent paper [Phys. Rev. E 99 (2019) 032134], T. Oikinomou and B. Bagci have argued that R\'enyi entropy is ill-suited for inference purposes because it is not consistent with the Shore{ Johnson axioms of statistical estimation theory. In this Comment we seek to clarify the latter statement by showing that there are several issues in Oikinomou{Bagci reasonings which lead to erroneous conclusions. When all these issues are properly accounted for, no violation of Shore- Johnson axioms is found.