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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 85, Pages 113–128 (Mi znsl2956)  
This article is cited in 24 scientific papers (total in 24 papers)

On limit theorems for sums of independent compact random subsets of Euclidean space

N. N. Ljashenko
Full-text PDF (863 kB) Citations (24)
Abstract: In the paper an asymptotical behaviour of normed sums of independent random compacts in $R^m$ is investigated. The article contains different convergence conditions for random set series, analogs of the central limit theorem and the strong law of large numbers.
English version:
Journal of Soviet Mathematics, 1982, Volume 20, Issue 3, Pages 2187–2196
DOI: https://doi.org/10.1007/BF01239996
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: N. N. Ljashenko, “On limit theorems for sums of independent compact random subsets of Euclidean space”, Investigations in the theory of probability distributions. Part IV, Zap. Nauchn. Sem. LOMI, 85, "Nauka", Leningrad. Otdel., Leningrad, 1979, 113–128; J. Soviet Math., 20:3 (1982), 2187–2196
Citation in format AMSBIB
\Bibitem{Lja79}
\by N.~N.~Ljashenko
\paper On limit theorems for sums of independent compact random subsets of Euclidean space
\inbook Investigations in the theory of probability distributions. Part~IV
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 85
\pages 113--128
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2956}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=535462}
\zmath{https://zbmath.org/?q=an:0417.60044|0489.60041}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 20
\issue 3
\pages 2187--2196
\crossref{https://doi.org/10.1007/BF01239996}
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  • https://www.mathnet.ru/eng/znsl/v85/p113
    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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