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Teoriya Veroyatnostei i ee Primeneniya, 1976, Volume 21, Issue 4, Pages 826–831 (Mi tvp3426)  
This article is cited in 17 scientific papers (total in 17 papers)

Short Communications

Asymptotic behaviour of a multinomial distribution

N. К. Arenbaev

Alma-Ata
Full-text PDF (288 kB) Citations (17)
Abstract: Let $P_n(m_1,\dots,m_k)$ be the probability of a multinomial distribution and $\Pi_1$ , $\Pi_2$ and $\Pi_3$ be multidimensional distributions: Poisson, Gaussian and a combination of them respectively. Asymptotic estimates for the sums
$$ \sum_{m_1+\dots+m_k=n}|P_n-\Pi_i|\qquad(i=1,2,3) $$
are obtained.
Received: 05.01.1976
English version:
Theory of Probability and its Applications, 1977, Volume 21, Issue 4, Pages 805–810
DOI: https://doi.org/10.1137/1121092
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. К. Arenbaev, “Asymptotic behaviour of a multinomial distribution”, Teor. Veroyatnost. i Primenen., 21:4 (1976), 826–831; Theory Probab. Appl., 21:4 (1977), 805–810
Citation in format AMSBIB
\Bibitem{Are76}
\by N.~К.~Arenbaev
\paper Asymptotic behaviour of a~multinomial distribution
\jour Teor. Veroyatnost. i Primenen.
\yr 1976
\vol 21
\issue 4
\pages 826--831
\mathnet{http://mi.mathnet.ru/tvp3426}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=478288}
\zmath{https://zbmath.org/?q=an:0372.60066}
\transl
\jour Theory Probab. Appl.
\yr 1977
\vol 21
\issue 4
\pages 805--810
\crossref{https://doi.org/10.1137/1121092}
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    • This publication is cited in the following 17 articles:
    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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