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Matematicheskie Zametki, 1978, Volume 23, Issue 3, Pages 487–495 (Mi mzm8163)  
Estimates of speed of convergence in limit theorems for first passage times

Sh. A. Mirakhmedov

Institute of Mathematics, Academy of Sciences of the Uzbek SSR
Full-text PDF (488 kB)
Abstract: In this article there are proven nonuniform estimates of speed of convergence in limit theorems for maximum sums of independent terms. The results thus obtained are applied to estimating speed of convergence in limit theorems for first passage times in random walks generated by these sums.
Received: 26.02.1976
English version:
Mathematical Notes, 1978, Volume 23, Issue 3, Pages 263–268
DOI: https://doi.org/10.1007/BF01651443
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: Sh. A. Mirakhmedov, “Estimates of speed of convergence in limit theorems for first passage times”, Mat. Zametki, 23:3 (1978), 487–495; Math. Notes, 23:3 (1978), 263–268
Citation in format AMSBIB
\Bibitem{Mir78}
\by Sh.~A.~Mirakhmedov
\paper Estimates of speed of convergence in limit theorems for first passage times
\jour Mat. Zametki
\yr 1978
\vol 23
\issue 3
\pages 487--495
\mathnet{http://mi.mathnet.ru/mzm8163}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=517499}
\zmath{https://zbmath.org/?q=an:0405.60073|0398.60071}
\transl
\jour Math. Notes
\yr 1978
\vol 23
\issue 3
\pages 263--268
\crossref{https://doi.org/10.1007/BF01651443}
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