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arXiv · 1910.13491

Inequalities for indices of coincidence and entropies

Alexandra Maduta·Diana Otrocol·Ioan Rasa
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Abstract

We consider a probability distribution depending on a real parameter $x$. As functions of $x$, the R\'enyi entropy and the Tsallis entropy can be expressed in terms of the associated index of coincidence $S(x)$. We establish recurrence relations and inequalities for $S(x),$ which can be used in order to get information concerning the two entropies.

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Alexandra Maduta, Diana Otrocol, Ioan Rasa. 2019-10-29. Inequalities for indices of coincidence and entropies. https://arxiv.org/abs/1910.13491

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