Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing)
Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing)
Entropy and the law of small numbers
IEEE Transactions on Information Theory
A simple proof of the entropy-power inequality
IEEE Transactions on Information Theory
Generalized Entropy Power Inequalities and Monotonicity Properties of Information
IEEE Transactions on Information Theory
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Gibilisco and Isola have recently proposed a definition of Fisher information for random variables taking values in a finite group that is analogous to the definition for real valued random variables with a density. Based on this Fisher information concept, they claim to prove a Stam inequality for finite-group valued random variables that is analogous to the one in the case of real values. In this note we show these results, unfortunately, do not hold for nonabelian groups in general, by constructing explicit counterexamples.