The Entropic Erdős-Kac Limit Theorem

S. G. Bobkov, G. P. Chistyakov, H. Kösters

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We prove entropic and total variation versions of the Erdős-Kac limit theorem for the maximum of the partial sums of i.i.d. random variables with densities.

Original languageEnglish (US)
Pages (from-to)1520-1555
Number of pages36
JournalJournal of Theoretical Probability
Volume28
Issue number4
DOIs
StatePublished - Dec 1 2015

Keywords

  • Entropic distance
  • Entropy
  • Erdős-Kac limit theorem

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