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Teoriya Veroyatnostei i ee Primeneniya, 1997, Volume 42, Issue 2, Pages 274–293
DOI: https://doi.org/10.4213/tvp1803 (Mi tvp1803) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the Erdös–Rényi maximum of partial sums

S. Yu. Novak

Novosibirsk State University
Full-text PDF (873 kB) Citations (4)
DOI: https://doi.org/10.4213/tvp1803
Abstract: We study the distribution of the Erdös–Rényi maximum of partial sums (MPS). A limit law is found. In the particular case where MPS is defined over a sequence of Bernoulli random variables B(12), we estimate the rate of convergence to that limit law.
Keywords: the Erdös–Rényi law, limit theorems.
Received: 26.05.1995
English version:
Theory of Probability and its Applications, 1998, Volume 42, Issue 2, Pages 254–270
DOI: https://doi.org/10.1137/S0040585X97976118
Bibliographic databases:
Language: Russian
Citation: S. Yu. Novak, “On the Erdös–Rényi maximum of partial sums”, Teor. Veroyatnost. i Primenen., 42:2 (1997), 274–293; Theory Probab. Appl., 42:2 (1998), 254–270
Citation in format AMSBIB
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\paper On the Erd\"os--R\'enyi maximum of partial sums
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\pages 274--293
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\transl
\jour Theory Probab. Appl.
\yr 1998
\vol 42
\issue 2
\pages 254--270
\crossref{https://doi.org/10.1137/S0040585X97976118}
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  • https://doi.org/10.4213/tvp1803
  • https://www.mathnet.ru/eng/tvp/v42/i2/p274
    • This publication is cited in the following 4 articles:
    1. Kifer Yu., “Erdos-Renyi Law of Large Numbers in the Averaging Setup”, Stoch. Dyn., 18:3 (2018), 1850018  crossref  mathscinet  zmath  isi  scopus
    2. Luc Devroye, Gábor Lugosi, Gahyun Park, Wojciech Szpankowski, “Multiple choice tries and distributed hash tables”, Random Struct Algorithms, 34:3 (2009), 337  crossref
    3. V. I. Piterbarg, A. M. Kozlov, “On large jumps of a Cramer random walk”, Theory Probab. Appl., 47:4 (2003), 719–729  mathnet  mathnet  crossref  crossref  isi
    4. M. V. Kozlov, “On the Erdős–Rényi Partial Sums: Large Deviations, Conditional Behavior”, Theory Probab. Appl., 46:4 (2002), 636–651  mathnet  mathnet  crossref  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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