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Teoriya Veroyatnostei i ee Primeneniya, 1977, Volume 22, Issue 2, Pages 415–420 (Mi tvp3231)  

This article is cited in 13 scientific papers (total in 14 papers)

Short Communications

On the $\omega^2$ statistic distribution in the multidimensional case

E. N. Krivyakovaa, G. V. Martynovb, Yu. N. Tyurinb

a Tomsk
b Moscow
Abstract: The paper gives a method for computing eigenvalues of the integral operator with the kernel
$$ K(s,t)=\prod_{i=1}^m\min(s_i,t_i)-\prod_{i=1}^ms_it_i $$
which is used to find the $\omega^2$-distribution in the multidimensional case. Tables for the cumulative distribution function and percentage points are given for $m=3$.
Received: 21.01.1975
English version:
Theory of Probability and its Applications, 1978, Volume 22, Issue 2, Pages 406–410
DOI: https://doi.org/10.1137/1122048
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. N. Krivyakova, G. V. Martynov, Yu. N. Tyurin, “On the $\omega^2$ statistic distribution in the multidimensional case”, Teor. Veroyatnost. i Primenen., 22:2 (1977), 415–420; Theory Probab. Appl., 22:2 (1978), 406–410
Citation in format AMSBIB
\Bibitem{KriMarTyu77}
\by E.~N.~Krivyakova, G.~V.~Martynov, Yu.~N.~Tyurin
\paper On the $\omega^2$ statistic distribution in the multidimensional case
\jour Teor. Veroyatnost. i Primenen.
\yr 1977
\vol 22
\issue 2
\pages 415--420
\mathnet{http://mi.mathnet.ru/tvp3231}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=440785}
\zmath{https://zbmath.org/?q=an:0378.62014}
\transl
\jour Theory Probab. Appl.
\yr 1978
\vol 22
\issue 2
\pages 406--410
\crossref{https://doi.org/10.1137/1122048}
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  • https://www.mathnet.ru/eng/tvp/v22/i2/p415
  • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
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