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Journal of Siberian Federal University. Mathematics & Physics, 2022, Volume 15, Issue 3, Pages 281–291
DOI: https://doi.org/10.17516/1997-1397-2022-15-3-281-291
(Mi jsfu997)
 

Central limit theorem for weakly dependent random variables with values in D[0,1]

Olimjon Sh. Sharipovab, Anvar F. Norjigitovb

a National University of Uzbekistan Tashkent, Uzbekistan
b V. I. Romanovskiy Institute of Mathematics, Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan
References:
Abstract: The main goal of this article is to prove the central limit theorem for sequences of random variables with values in the space D[0,1]. We assume that the sequence satisfies the mixing conditions. In the paper the central limit theorems for sequences with strong mixing and ρm-mixing are proved.
Keywords: central limit theorem, mixing sequence, D[0,1] space.
Received: 03.10.2021
Received in revised form: 04.12.2021
Accepted: 09.02.2022
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: English
Citation: Olimjon Sh. Sharipov, Anvar F. Norjigitov, “Central limit theorem for weakly dependent random variables with values in D[0,1]”, J. Sib. Fed. Univ. Math. Phys., 15:3 (2022), 281–291
Citation in format AMSBIB
\Bibitem{ShaNor22}
\by Olimjon~Sh.~Sharipov, Anvar~F.~Norjigitov
\paper Central limit theorem for weakly dependent random variables with values in $D\left[0,1\right]$
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2022
\vol 15
\issue 3
\pages 281--291
\mathnet{http://mi.mathnet.ru/jsfu997}
\crossref{https://doi.org/10.17516/1997-1397-2022-15-3-281-291}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4442664}
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