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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2011, Volume 2, Issue 1, Pages 119–129
DOI: https://doi.org/10.4213/mvk28 (Mi mvk28) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Asymptotic normality of the number of non-appeared values in random $m$-dependent sequences

M. I. Tihomirovaa, V. P. Chistyakovb

a Academy of Cryptography of Russian Federation, Moscow
b Steklov Mathematical Institute of RAS, Moscow
Full-text PDF (638 kB) Citations (3)
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DOI: https://doi.org/10.4213/mvk28
Abstract: A number of non-appeared values in a segment of discrete stationary $m$-dependent sequence is considered. Asymptotic normality of this number is proved under the condition that the number of possible values and the length of a segment tend to infinity and are of the same order.
Key words: $m$-dependent random variables, number of non-appeared values, central limit theorem.
Received 22.IV.2010
Document Type: Article
UDC: 519.214.5
Language: Russian
Citation: M. I. Tihomirova, V. P. Chistyakov, “Asymptotic normality of the number of non-appeared values in random $m$-dependent sequences”, Mat. Vopr. Kriptogr., 2:1 (2011), 119–129
Citation in format AMSBIB
\Bibitem{TikChi11}
\by M.~I.~Tihomirova, V.~P.~Chistyakov
\paper Asymptotic normality of the number of non-appeared values in random $m$-dependent sequences
\jour Mat. Vopr. Kriptogr.
\yr 2011
\vol 2
\issue 1
\pages 119--129
\mathnet{http://mi.mathnet.ru/mvk28}
\crossref{https://doi.org/10.4213/mvk28}
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    • This publication is cited in the following 3 articles:
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