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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 228, Pages 229–251 (Mi znsl3706)  

The strong convergence of distributions of Brownian sojourn times in procedures of approximations

A. M. Nikulin

Saint-Petersburg State Polytechnical University
Abstract: New sufficient conditions are obtained for distributions of Brownian sojourn times to strongly converge in procedures of approximation by integral type functionals. Bibl. 5 titles.
Received: 06.10.1995
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 93, Issue 3, Pages 399–413
DOI: https://doi.org/10.1007/BF02364825
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: A. M. Nikulin, “The strong convergence of distributions of Brownian sojourn times in procedures of approximations”, Probability and statistics. Part 1, Zap. Nauchn. Sem. POMI, 228, POMI, St. Petersburg, 1996, 229–251; J. Math. Sci. (New York), 93:3 (1999), 399–413
Citation in format AMSBIB
\Bibitem{Nik96}
\by A.~M.~Nikulin
\paper The strong convergence of distributions of Brownian sojourn times in procedures of approximations
\inbook Probability and statistics. Part~1
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 228
\pages 229--251
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3706}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1449860}
\zmath{https://zbmath.org/?q=an:0978.60024}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 93
\issue 3
\pages 399--413
\crossref{https://doi.org/10.1007/BF02364825}
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