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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 408, Pages 197–213 (Mi znsl5501)  
This article is cited in 2 scientific papers (total in 3 papers)

On Ghurye–Olkin–Zinger theorem

I. A. Ibragimovab

a St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (262 kB) Citations (3)
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Abstract: A generalization of Ghurye–Olkin–Zinger characterization theorem is proved.
Key words and phrases: Darmois–Skitovich theorem, characterization theorems, characteristic functions.
Received: 05.10.2012
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 199, Issue 2, Pages 174–183
DOI: https://doi.org/10.1007/s10958-014-1845-8
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: I. A. Ibragimov, “On Ghurye–Olkin–Zinger theorem”, Probability and statistics. Part 18, Zap. Nauchn. Sem. POMI, 408, POMI, St. Petersburg, 2012, 197–213; J. Math. Sci. (N. Y.), 199:2 (2014), 174–183
Citation in format AMSBIB
\Bibitem{Ibr12}
\by I.~A.~Ibragimov
\paper On Ghurye--Olkin--Zinger theorem
\inbook Probability and statistics. Part~18
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 408
\pages 197--213
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5501}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3032217}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 199
\issue 2
\pages 174--183
\crossref{https://doi.org/10.1007/s10958-014-1845-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84902258554}
Linking options:
  • https://www.mathnet.ru/eng/znsl5501
  • https://www.mathnet.ru/eng/znsl/v408/p197
    • This publication is cited in the following 3 articles:
    1. A. A. Borovkov, Al. V. Bulinski, A. M. Vershik, D. Zaporozhets, A. S. Holevo, A. N. Shiryaev, “Ildar Abdullovich Ibragimov (on his ninetieth birthday)”, Russian Math. Surveys, 78:3 (2023), 573–583  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    2. Klaus Nordhausen, Hannu Oja, “Independent component analysis: A statistical perspective”, WIREs Computational Stats, 10:5 (2018)  crossref
    3. Markus Matilainen, Klaus Nordhausen, Hannu Oja, “New independent component analysis tools for time series”, Statistics & Probability Letters, 105 (2015), 80  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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