Equivalent conditions of complete convergence for weighted sums of ANA random variables
Author:
Affiliation:
1. College of Mathematics and Statistics , Hengyang Normal University , Hengyang 421002 , China
2. Hunan Provincial Key Laboratory of Intelligent Information Processing and Application , Hengyang 421002 , China
Abstract
Publisher
Walter de Gruyter GmbH
Subject
General Mathematics
Link
https://www.degruyter.com/document/doi/10.1515/ms-2017-0197/pdf
Reference19 articles.
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2. Bradley, R. C.: On the spectral density and asymptotic normality of weakly dependent random fields, J. Theoret. Probab. 5(2) (1992), 355–373.
3. Budsaba, K.—Chen, P. Y.—Volodin, A.: Limiting behavior of moving average processes based on a sequence of ρ–-mixing random variables, Thailand Statistician 5 (2007), 69–80.
4. Cai, G. H.: Strong law of large numbers for ρ*-mixing sequences with different distributions, Discrete Dyn. Nat. Soc. (2006), Article ID 27648, 7 pp.
5. Erdös, P.: On a theorem of Hsu and Robbins, Annals of Mathematical Statistics 20 (1949), 286–291.
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1. Limit Theorems for Weighted Sums of Asymptotically Negatively Associated Random Variables Under Some General Conditions;Mathematica Slovaca;2023-08-01
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