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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
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
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
Linking options:
https://www.mathnet.ru/eng/jsfu997 https://www.mathnet.ru/eng/jsfu/v15/i3/p281
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Abstract page: | 87 | Full-text PDF : | 54 | References: | 23 |
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