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Zapiski Nauchnykh Seminarov LOMI, 1976, Volume 61, Pages 5–16 (Mi znsl2053)  
This article is cited in 5 scientific papers (total in 5 papers)

Stability of the characterization of the multivariate normal distribution in the Skitovich–Darmois theorem

Yu. R. Gabovich
Full-text PDF (481 kB) Citations (5)
Abstract: A numerical estimate of stability is obtained in a multidimensional variant of the Skitovich–Darmois theorem when the original random vectors, as well as linear combinations of them, are assumed to be $\varepsilon$-independent.
English version:
Journal of Soviet Mathematics, 1981, Volume 16, Issue 5, Pages 1341–1349
DOI: https://doi.org/10.1007/BF01091625
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: Yu. R. Gabovich, “Stability of the characterization of the multivariate normal distribution in the Skitovich–Darmois theorem”, Continuity and stability in the problems of probability theory and mathematical statistics, Zap. Nauchn. Sem. LOMI, 61, "Nauka", Leningrad. Otdel., Leningrad, 1976, 5–16; J. Soviet Math., 16:5 (1981), 1341–1349
Citation in format AMSBIB
\Bibitem{Gab76}
\by Yu.~R.~Gabovich
\paper Stability of the characterization of the multivariate normal distribution in the Skitovich--Darmois theorem
\inbook Continuity and stability in the problems of probability theory and mathematical statistics
\serial Zap. Nauchn. Sem. LOMI
\yr 1976
\vol 61
\pages 5--16
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2053}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=428591}
\zmath{https://zbmath.org/?q=an:0462.60018|0337.60019}
\transl
\jour J. Soviet Math.
\yr 1981
\vol 16
\issue 5
\pages 1341--1349
\crossref{https://doi.org/10.1007/BF01091625}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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