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Diskretnaya Matematika, 1997, Volume 9, Issue 4, Pages 127–136
DOI: https://doi.org/10.4213/dm501 (Mi dm501) 		 
This article is cited in 7 scientific papers (total in 7 papers)

The sequential chi-square test based on $s$-tuples of states of a Markov chain

B. I. Selivanov, V. P. Chistyakov
Full-text PDF (778 kB) Citations (7)
DOI: https://doi.org/10.4213/dm501
Abstract: A multidimensional statistic whose components are one-dimensional chi-square statistics based on frequencies of outcomes of a sequence of multinomial trials was considered previously and the density of the limit distribution of this statistic was found. We extend this result to statistics based on $s$-tuples of states of a finite homogeneous Markov chain.
The research was supported by the Russian Foundation for Basic Research, grant 96-01-00531.
Received: 22.05.1996
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: B. I. Selivanov, V. P. Chistyakov, “The sequential chi-square test based on $s$-tuples of states of a Markov chain”, Diskr. Mat., 9:4 (1997), 127–136; Discrete Math. Appl., 7:5 (1997), 523–532
Citation in format AMSBIB
\Bibitem{SelChi97}
\by B.~I.~Selivanov, V.~P.~Chistyakov
\paper The sequential chi-square test based on $s$-tuples of states of a Markov chain
\jour Diskr. Mat.
\yr 1997
\vol 9
\issue 4
\pages 127--136
\mathnet{http://mi.mathnet.ru/dm501}
\crossref{https://doi.org/10.4213/dm501}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1629617}
\zmath{https://zbmath.org/?q=an:0979.62056}
\transl
\jour Discrete Math. Appl.
\yr 1997
\vol 7
\issue 5
\pages 523--532
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  • https://doi.org/10.4213/dm501
  • https://www.mathnet.ru/eng/dm/v9/i4/p127
    • This publication is cited in the following 7 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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