The Entropic Erdős-Kac Limit Theorem

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

doi:10.1007/s10959-014-0550-3

The Entropic Erdős-Kac Limit Theorem

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

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	1520-1555
Number of pages	36
Journal	Journal of Theoretical Probability
Volume	28
Issue number	4
DOIs	https://doi.org/10.1007/s10959-014-0550-3
State	Published - Dec 1 2015

Bibliographical note

Funding Information:
S. G. Bobkov, G. P. Chistyakov and H. Kösters are supported by CRC 701. S. B. was also supported by DMS-1106530 and Simons Fellowship.

Publisher Copyright:
© 2014, Springer Science+Business Media New York.

Keywords

Entropic distance
Entropy
Erdős-Kac limit theorem

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The Entropic Erdős-Kac Limit Theorem

Abstract

Bibliographical note

Keywords

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