Comment on "Stability of Tsallis entropy and instabilities of Rényi and normalized Tsallis entropies: a basis for q-exponential distributions".
It is shown that the Rényi entropy is as stable as the Tsallis entropy at least for the Abe-Lesche counter examples.
Bashkirov
A G
AG
Institute Dynamics of Geospheres, Russian Academy of Sciences, Moscow, Russia. abas@idg.chph.ras.ru