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Matematicheskie Zametki, 2004, Volume 76, Issue 4, Pages 490–501
DOI: https://doi.org/10.4213/mzm123
(Mi mzm123)
 

This article is cited in 7 scientific papers (total in 7 papers)

Statistical Version of the Central Limit Theorem for Vector-Valued Random Fields

A. V. Bulinski

M. V. Lomonosov Moscow State University
Full-text PDF (241 kB) Citations (7)
References:
Abstract: The classical central limit theorem due to Newman for real-valued strictly stationary associated random fields is generalized to strictly stationary quasi-associated vector-valued random fields comprising, in particular, positively or negatively associated fields with finite second moments. We also establish a version of the CLT with random matrix normalization which allows us to construct approximate confidence intervals for the unknown mean vector.
Received: 18.03.2003
English version:
Mathematical Notes, 2004, Volume 76, Issue 4, Pages 455–464
DOI: https://doi.org/10.1023/B:MATN.0000043475.02039.e0
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: A. V. Bulinski, “Statistical Version of the Central Limit Theorem for Vector-Valued Random Fields”, Mat. Zametki, 76:4 (2004), 490–501; Math. Notes, 76:4 (2004), 455–464
Citation in format AMSBIB
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  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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