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Teoriya Veroyatnostei i ee Primeneniya, 1999, Volume 44, Issue 4, Pages 846–852
DOI: https://doi.org/10.4213/tvp1069
(Mi tvp1069)
 

This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

On strong attraction of stationary sequences to a normal law

A. G. Grin'

Omsk State University
Abstract: For stationary sequences satisfying the uniformly strong mixing condition, general conditions of attraction to the normal law are obtained in terms of distributions of particular summands. The main result of this paper generalizes all known results of this kind in the field.
Keywords: stationary sequences, uniformly strong mixing, extremal tests, strong attraction to the normal law.
Received: 25.12.1997
English version:
Theory of Probability and its Applications, 2000, Volume 44, Issue 4, Pages 768–775
DOI: https://doi.org/10.1137/S0040585X97977938
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Grin', “On strong attraction of stationary sequences to a normal law”, Teor. Veroyatnost. i Primenen., 44:4 (1999), 846–852; Theory Probab. Appl., 44:4 (2000), 768–775
Citation in format AMSBIB
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\transl
\jour Theory Probab. Appl.
\yr 2000
\vol 44
\issue 4
\pages 768--775
\crossref{https://doi.org/10.1137/S0040585X97977938}
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  • https://www.mathnet.ru/eng/tvp1069
  • https://doi.org/10.4213/tvp1069
  • https://www.mathnet.ru/eng/tvp/v44/i4/p846
  • This publication is cited in the following 3 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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