English

The Entropic Erd\H{o}s-Kac Limit Theorem

Probability 2013-08-15 v1

Abstract

We prove entropic and total variation versions of the Erd\H{o}s-Kac limit theorem for the maximum of the partial sums of i.i.d. random variables with densities.

Keywords

Cite

@article{arxiv.1308.3090,
  title  = {The Entropic Erd\H{o}s-Kac Limit Theorem},
  author = {S. G. Bobkov and G. P. Chistyakov and H. Kösters},
  journal= {arXiv preprint arXiv:1308.3090},
  year   = {2013}
}

Comments

32 pages

R2 v1 2026-06-22T01:09:10.138Z