  We reply to the Comment by Jizba and Korbel [arXiv:1905.00729v1] by first
pointing out that the Schur-concavity proposed by them falls short of
identifying the correct intervals of normalization for the optimum probability
distribution even though normalization is a must ingredient in the entropy
maximization procedure. Secondly, their treatment of the subset independence
axiom requires a modification of the Lagrange multipliers one begins with
thereby rendering the optimization less trustworthy. We also explicitly
demonstrate that the R\'enyi entropy violates the subset independence axiom and
compare it with the Shannon entropy. Thirdly, the new composition rule offered
by Jizba and Korbel are shown to yield probability distributions even without a
need for the entropy maximization procedure at the expense of creating
artificial bias in the data.
