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Teoriya Veroyatnostei i ee Primeneniya, 1993, Volume 38, Issue 4, Pages 800–826 (Mi tvp4019)  

This article is cited in 10 scientific papers (total in 10 papers)

Limit theorems for stopped random sequences. I: Rates of convergence and asymptotic expansions

V. K. Malinovskii

Steklov Mathematical Institute, Russian Academy of Sciences
Abstract: Stopped random sequences with record regeneration are considered and limit theorems refining the normal approximation are proved. Particular cases of such sequences are stopped random walks, recurrent Markov renewal processes, and certain procedures of sequential estimation.
Keywords: stopped random sequences, asymptotic expansions, record regeneration.
Received: 18.12.1990
Revised: 25.05.1992
English version:
Theory of Probability and its Applications, 1993, Volume 38, Issue 4, Pages 673–693
DOI: https://doi.org/10.1137/1138067
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. K. Malinovskii, “Limit theorems for stopped random sequences. I: Rates of convergence and asymptotic expansions”, Teor. Veroyatnost. i Primenen., 38:4 (1993), 800–826; Theory Probab. Appl., 38:4 (1993), 673–693
Citation in format AMSBIB
\Bibitem{Mal93}
\by V.~K.~Malinovskii
\paper Limit theorems for stopped random sequences.~I: Rates of convergence and asymptotic expansions
\jour Teor. Veroyatnost. i Primenen.
\yr 1993
\vol 38
\issue 4
\pages 800--826
\mathnet{http://mi.mathnet.ru/tvp4019}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1317999}
\zmath{https://zbmath.org/?q=an:0837.60032}
\transl
\jour Theory Probab. Appl.
\yr 1993
\vol 38
\issue 4
\pages 673--693
\crossref{https://doi.org/10.1137/1138067}
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  • https://www.mathnet.ru/eng/tvp/v38/i4/p800
  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
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