%0 Journal Article %1 bobkov2018asymptotic %A Bobkov, Sergey G. %A Marsiglietti, Arnaud %D 2018 %K clt %T Asymptotic behavior of Rényi entropy in the central limit theorem %U http://arxiv.org/abs/1802.10212 %X We explore an asymptotic behavior of Rényi 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.

@article{bobkov2018asymptotic, 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.}, added-at = {2018-03-02T16:37:07.000+0100}, author = {Bobkov, Sergey G. and Marsiglietti, Arnaud}, biburl = {https://www.bibsonomy.org/bibtex/20f50ca289c707a37d141fd9955b4418c/claired}, description = {Asymptotic behavior of R\'enyi entropy in the central limit theorem}, interhash = {476535a9855f7d4a5524dd6f45e90122}, intrahash = {0f50ca289c707a37d141fd9955b4418c}, keywords = {clt}, note = {cite arxiv:1802.10212Comment: 27 pages}, timestamp = {2018-03-02T16:37:07.000+0100}, title = {Asymptotic behavior of R\'enyi entropy in the central limit theorem}, url = {http://arxiv.org/abs/1802.10212}, year = 2018 }