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arXiv · 1802.10212

Asymptotic behavior of R\'enyi entropy in the central limit theorem

Sergey G. Bobkov·Arnaud Marsiglietti
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Abstract

We explore an asymptotic behavior of R\'enyi entropy along convolutions in the central limit theorem with respect to the increasing number of i.i.d. summands. In particular, the problem of monotonicity is addressed under suitable moment hypotheses.

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Sergey G. Bobkov, Arnaud Marsiglietti. 2018-02-28. Asymptotic behavior of R\'enyi entropy in the central limit theorem. https://arxiv.org/abs/1802.10212

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