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Teoriya Veroyatnostei i ee Primeneniya, 1975, Volume 20, Issue 3, Pages 642–649 (Mi tvp3311)  
This article is cited in 10 scientific papers (total in 10 papers)

Short Communications

On the rate of convergence for the multidimensiona invariance principle

V. V. Gorodestkii

Leningrad
Full-text PDF (433 kB) Citations (10)
Abstract: In this paper, estimates of [1], [2] are generalized under some additional restrictions for the convergence to
1) a multidimensional Wiener process,
2) a Brownian sheet, i.e. a Gaussian random field $w(t)$, $t\in[0,1]$, $q>1$:
$$ \mathbf Ew(t)=0,\quad\mathbf Ew(t)w(s)=\prod_1^q(t_i\wedge s_i). $$
Received: 19.01.1974
English version:
Theory of Probability and its Applications, 1976, Volume 20, Issue 3, Pages 631–638
DOI: https://doi.org/10.1137/1120069
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Gorodestkii, “On the rate of convergence for the multidimensiona invariance principle”, Teor. Veroyatnost. i Primenen., 20:3 (1975), 642–649; Theory Probab. Appl., 20:3 (1976), 631–638
Citation in format AMSBIB
\Bibitem{Gor75}
\by V.~V.~Gorodestkii
\paper On the rate of convergence for the multidimensiona invariance principle
\jour Teor. Veroyatnost. i Primenen.
\yr 1975
\vol 20
\issue 3
\pages 642--649
\mathnet{http://mi.mathnet.ru/tvp3311}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=378015}
\zmath{https://zbmath.org/?q=an:0362.60024}
\transl
\jour Theory Probab. Appl.
\yr 1976
\vol 20
\issue 3
\pages 631--638
\crossref{https://doi.org/10.1137/1120069}
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  • https://www.mathnet.ru/eng/tvp/v20/i3/p642
    • 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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