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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 6, Pages 1407–1424 (Mi smj1266)  
This article is cited in 5 scientific papers (total in 5 papers)

The law of the iterated logarithm for weakly dependent Hilbert space valued random variables

O. Sh. Sharipov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
Full-text PDF (261 kB) Citations (5)
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Abstract: We consider the bounded and compact laws of the iterated logarithm for weakly dependent Hilbert space valued random variables. Under optimal moment conditions, we prove the bounded and compact laws of the iterated logarithm for sequences of identically distributed Hilbert space valued random variables satisfying the uniform strong mixing condition.
Keywords: law of the iterated logarithm, Hilbert space valued random variable, mixing condition.
Received: 04.01.2003
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 6, Pages 1111–1126
DOI: https://doi.org/10.1023/B:SIMJ.0000007487.22414.15
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: O. Sh. Sharipov, “The law of the iterated logarithm for weakly dependent Hilbert space valued random variables”, Sibirsk. Mat. Zh., 44:6 (2003), 1407–1424; Siberian Math. J., 44:6 (2003), 1111–1126
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
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\pages 1111--1126
\crossref{https://doi.org/10.1023/B:SIMJ.0000007487.22414.15}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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