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Diskretnaya Matematika, 1998, Volume 10, Issue 2, Pages 52–61
DOI: https://doi.org/10.4213/dm427 (Mi dm427) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Multivariate chi-square distribution for a nonhomogeneous multinomial scheme

B. I. Selivanov, V. P. Chistyakov
Full-text PDF (760 kB) Citations (2)
DOI: https://doi.org/10.4213/dm427
Abstract: We consider a statistic whose components are the $\chi^2$ statistics, constructed on the base of the frequencies of outcomes of non-homogeneous polynomial samples of growing volumes. Conditions are formulated which guarantee the existence of a limiting distribution of this statistics, and its Laplace transform is presented. In the homogeneous case, the Laplace transform obtained is reduced to the form which has been known before.
This work was supported by the Russian Foundation for Basic Research, grants 96–01–00531, 96–15–96092.
Received: 10.12.1997
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: B. I. Selivanov, V. P. Chistyakov, “Multivariate chi-square distribution for a nonhomogeneous multinomial scheme”, Diskr. Mat., 10:2 (1998), 52–61; Discrete Math. Appl., 8:3 (1998), 263–273
Citation in format AMSBIB
\Bibitem{SelChi98}
\by B.~I.~Selivanov, V.~P.~Chistyakov
\paper Multivariate chi-square distribution for a nonhomogeneous multinomial scheme
\jour Diskr. Mat.
\yr 1998
\vol 10
\issue 2
\pages 52--61
\mathnet{http://mi.mathnet.ru/dm427}
\crossref{https://doi.org/10.4213/dm427}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1673162}
\zmath{https://zbmath.org/?q=an:0959.62050}
\transl
\jour Discrete Math. Appl.
\yr 1998
\vol 8
\issue 3
\pages 263--273
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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