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Diskretnaya Matematika, 2017, Volume 29, Issue 4, Pages 121–129
DOI: https://doi.org/10.4213/dm1480
(Mi dm1480)
 

Limit distributions of the Pearson statistics for nonhomogeneous polynomial scheme

M. P. Savelov

Novosibirsk State University
References:
Abstract: For a nonhomogeneous polynomial scheme, conditions are found under which the Pearson statistic distributions converge to the distribution of nonnegative quadratic form of independent random variables with the standard normal distribution.
Keywords: chi-square test, Pearson statistics, limit distributions, noncentral weighted chi-square distribution.
Funding agency Grant number
Russian Science Foundation 17-11-01173
Received: 15.05.2017
English version:
Discrete Mathematics and Applications, 2019, Volume 29, Issue 4, Pages 233–239
DOI: https://doi.org/10.1515/dma-2019-0021
Bibliographic databases:
Document Type: Article
UDC: 519.214.5
Language: Russian
Citation: M. P. Savelov, “Limit distributions of the Pearson statistics for nonhomogeneous polynomial scheme”, Diskr. Mat., 29:4 (2017), 121–129; Discrete Math. Appl., 29:4 (2019), 233–239
Citation in format AMSBIB
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\by M.~P.~Savelov
\paper Limit distributions of the Pearson statistics for nonhomogeneous polynomial scheme
\jour Diskr. Mat.
\yr 2017
\vol 29
\issue 4
\pages 121--129
\mathnet{http://mi.mathnet.ru/dm1480}
\crossref{https://doi.org/10.4213/dm1480}
\elib{https://elibrary.ru/item.asp?id=30737814}
\transl
\jour Discrete Math. Appl.
\yr 2019
\vol 29
\issue 4
\pages 233--239
\crossref{https://doi.org/10.1515/dma-2019-0021}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000481416500003}
Linking options:
  • https://www.mathnet.ru/eng/dm1480
  • https://doi.org/10.4213/dm1480
  • https://www.mathnet.ru/eng/dm/v29/i4/p121
  • Citing articles in Google Scholar: Russian citations, English citations
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