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Asymptotic behavior of Renyi entropy in the central limit theorem

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 Added by Arnaud Marsiglietti
 Publication date 2018
  fields
and research's language is English




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We explore an asymptotic behavior of Renyi 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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