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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 260, Pages 17–30 (Mi znsl1063)  
This article is cited in 1 scientific paper (total in 1 paper)

On the weak convergence of probability measures in a Banach space

A. N. Baushev

Petersburg State Transport University
Full-text PDF (215 kB) Citations (1)
Abstract: Necessary and sufficient conditions for the weak convergence of Borel probability measures in a separable strictly normed Banach space with continuous modulus of convexity are derived. These conditions consist in simultanious convergence of the distribution functions of the norm and of all linear continuous functionals with respect to the sequence of distributions under consideration.
Received: 10.07.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 109, Issue 6, Pages 2037–2046
DOI: https://doi.org/10.1023/A:1014512929198
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: A. N. Baushev, “On the weak convergence of probability measures in a Banach space”, Probability and statistics. Part 3, Zap. Nauchn. Sem. POMI, 260, POMI, St. Petersburg, 1999, 17–30; J. Math. Sci. (New York), 109:6 (2002), 2037–2046
Citation in format AMSBIB
\Bibitem{Bau99}
\by A.~N.~Baushev
\paper On the weak convergence of probability measures in a Banach space
\inbook Probability and statistics. Part~3
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 260
\pages 17--30
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1063}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1759152}
\zmath{https://zbmath.org/?q=an:0995.60007}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 109
\issue 6
\pages 2037--2046
\crossref{https://doi.org/10.1023/A:1014512929198}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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