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Matematicheskie Trudy, 2016, Volume 19, Number 2, Pages 109–118
DOI: https://doi.org/10.17377/mattrudy.2016.19.204 (Mi mt307) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On computable estimates for accuracy of approximation for the Bartlett–Nanda–Pillai statistic

A. A. Lipateva, V. V. Ulyanovab

a Lomonosov Moscow State University, Moscow, Russia
b Higher School of Economics, Moscow, Russia
Full-text PDF (200 kB) Citations (3)
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DOI: https://doi.org/10.17377/mattrudy.2016.19.204
Abstract: For the Bartlett-Nanda-Pillai statistic, we find computable estimates for accuracy of approximation, i.e., we describe explicitly the dependence on all parameters of the distributions that occur in the inequalities. For the other two classical statistics traditionally used in multivariate analysis of variance, i.e., the likelihood-ratio and Lawley–Hotelling statistics, similar computable estimates were found earlier.
Key words: computable estimates, accuracy of approximation, multivariate analysis of variance, Bartlett–Nanda–Pillai statistic.
Funding agency Grant number
Russian Science Foundation 14-11-00364
Received: 14.03.2016
English version:
Siberian Advances in Mathematics, 2017, Volume 27, Issue 3, Pages 153–159
DOI: https://doi.org/10.3103/S1055134417030014
Bibliographic databases:
Document Type: Article
UDC: 519.237
Language: Russian
Citation: A. A. Lipatev, V. V. Ulyanov, “On computable estimates for accuracy of approximation for the Bartlett–Nanda–Pillai statistic”, Mat. Tr., 19:2 (2016), 109–118; Siberian Adv. Math., 27:3 (2017), 153–159
Citation in format AMSBIB
\Bibitem{LipUly16}
\by A.~A.~Lipatev, V.~V.~Ulyanov
\paper On computable estimates for accuracy of approximation for the Bartlett--Nanda--Pillai statistic
\jour Mat. Tr.
\yr 2016
\vol 19
\issue 2
\pages 109--118
\mathnet{http://mi.mathnet.ru/mt307}
\crossref{https://doi.org/10.17377/mattrudy.2016.19.204}
\elib{https://elibrary.ru/item.asp?id=27258780}
\transl
\jour Siberian Adv. Math.
\yr 2017
\vol 27
\issue 3
\pages 153--159
\crossref{https://doi.org/10.3103/S1055134417030014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85028591651}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    References:40
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