On the Erdös-Rènyi maximum of partial sums

Article

Novak, S. 1998. On the Erdös-Rènyi maximum of partial sums. Theory of Probability and Its Applications. 42 (2), pp. 254-270. https://doi.org/10.1137/S0040585X97976118
TypeArticle
TitleOn the Erdös-Rènyi maximum of partial sums
AuthorsNovak, S.
Abstract

We study the distribution of the Erdos-Renyi maximum of partial sums (MPS). A limit law has been established. In the particular case of a sequence of Bernoulli B(1/2) random variables, we derive an estimate the rate of convergence in the limit theorem for the Erdos-Renyi maximum of partial sums.

JournalTheory of Probability and Its Applications
ISSN0040-585X
Electronic1095-7219
Publication dates
PrintJan 1998
Publication process dates
Deposited23 Sep 2016
Accepted03 Jan 1996
Output statusPublished
Additional information

Theory Probab. Appl., v. 42, No 3, 254–270.

Digital Object Identifier (DOI)https://doi.org/10.1137/S0040585X97976118
LanguageEnglish
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