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Diskr. Mat., 1998, Volume 10, Issue 2, Pages 52–61 (Mi dm427)  

This article is cited in 1 scientific paper (total in 1 paper)

Multivariate chi-square distribution for a nonhomogeneous multinomial scheme

B. I. Selivanov, V. P. Chistyakov


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.

DOI: https://doi.org/10.4213/dm427

Full text: PDF file (760 kB)

English version:
Discrete Mathematics and Applications, 1998, 8:3, 263–273

Bibliographic databases:

Document Type: Article
UDC: 519.2
Received: 10.12.1997

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://www.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 articles:
    1. A. M. Zubkov, M. P. Savelov, “Convergence of the sequence of the Pearson statistics values to the normalized square of the Bessel process”, Discrete Math. Appl., 27:6 (2017), 405–411  mathnet  crossref  crossref  mathscinet  isi  elib
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