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Diskretnaya Matematika, 2005, Volume 17, Issue 2, Pages 19–48
DOI: https://doi.org/10.4213/dm96
(Mi dm96)
 

This article is cited in 4 scientific papers (total in 4 papers)

A power divergence test in the problem of sample homogeneity for a large number of outcomes and trials

A. P. Baranov, Yu. A. Baranov
References:
Abstract: In order to test homogeneity of $r$ independent polynomial schemes with the same number of outcomes $N$ under non-classical conditions where the numbers of trials $n_d$, $d=1,\dots,r$, in each of the schemes and the number of outcomes $N$ tend to infinity, we suggest a statistic $I(\lambda,r)$ which is a multidimensional analogue of the statistic $I(\lambda)$ introduced by T. Read and N. Cressie. We obtain conditions of asymptotic normality of the distributions of the statistics $I(\lambda)$ and $I(\lambda,r)$ for an arbitrary fixed integer $\lambda$, $\lambda\ne 0,-1$, as $N\to\infty$, $n_dN^{-1}\to\infty$, $d=1,\dots,r$. The expressions for the centring and normalising parameters are given in the explicit form for the hypothesis $H_0$ under which the distributions in these $r$ schemes coincide, and for some class of alternatives close to $H_0$.
Received: 20.02.2005
English version:
Discrete Mathematics and Applications, 2005, Volume 15, Issue 3, Pages 211–240
DOI: https://doi.org/10.1515/156939205774464459
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: A. P. Baranov, Yu. A. Baranov, “A power divergence test in the problem of sample homogeneity for a large number of outcomes and trials”, Diskr. Mat., 17:2 (2005), 19–48; Discrete Math. Appl., 15:3 (2005), 211–240
Citation in format AMSBIB
\Bibitem{BarBar05}
\by A.~P.~Baranov, Yu.~A.~Baranov
\paper A power divergence test in the problem of sample homogeneity for a large number of outcomes and trials
\jour Diskr. Mat.
\yr 2005
\vol 17
\issue 2
\pages 19--48
\mathnet{http://mi.mathnet.ru/dm96}
\crossref{https://doi.org/10.4213/dm96}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2167798}
\zmath{https://zbmath.org/?q=an:1097.62035}
\elib{https://elibrary.ru/item.asp?id=9135421}
\transl
\jour Discrete Math. Appl.
\yr 2005
\vol 15
\issue 3
\pages 211--240
\crossref{https://doi.org/10.1515/156939205774464459}
Linking options:
  • https://www.mathnet.ru/eng/dm96
  • https://doi.org/10.4213/dm96
  • https://www.mathnet.ru/eng/dm/v17/i2/p19
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Дискретная математика
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