Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (3)
- Authors
- Sharipov, Olimjon Sh.; Norjigitov, Anvar F.
- Contact information
- Sharipov, Olimjon Sh.: National University of Uzbekistan Tashkent, Uzbekistan V. I. Romanovskiy Institute of Mathematics Academy of Sciences of Uzbekistan Tashkent, Uzbekistan; ; Norjigitov, Anvar F.: Academy of Sciences of Uzbekistan Tashkent, Uzbekistan;
- Keywords
- central limit theorem; mixing sequence; D[0; 1] space
- 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 m-mixing are proved. Keywords: central limit theorem, mixing sequence, D[0; 1] space
- Pages
- 281–291
- DOI
- 10.17516/1997-1397-2022-15-3-281-291
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/145511
Journal of Siberian Federal University. Mathematics & Physics / Central Limit Theorem for Weakly Dependent Random Variables with Values in D[0; 1]
Full text (.pdf)