A note on strong limit theorems for arbitrary stochastic sequences

doi:10.1016/j.spl.2008.01.084

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	A note on strong limit theorems for arbitrary stochastic sequences
	Yang, Weiguo 1; Yang, Xue 2
	2008-10-01
发表期刊	STATISTICS & PROBABILITY LETTERS
ISSN	0167-7152
卷号	78 期号:14 页码:2018-2023
摘要	The purpose of this paper is to establish a strong limit theorem of the Dubins-Freedman type for arbitrary stochastic sequences. This generalizes a result by Issac. Our theorem on growth rate for arbitrary stochastic sequences generalizes a result by Freedman and a result by Petrov. We also establish a theorem for a sequence of independent, symmetric random variables which generalizes another result by Freedman. (C) 2008 Elsevier B.V. All rights reserved.
DOI	10.1016/j.spl.2008.01.084
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000259885200004
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6177
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, Weiguo
作者单位	1.Jiangsu Univ, Fac Sci, Inst Math, Zhenjiang 212013, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yang, Weiguo,Yang, Xue. A note on strong limit theorems for arbitrary stochastic sequences[J]. STATISTICS & PROBABILITY LETTERS,2008,78(14):2018-2023.
APA	Yang, Weiguo,&Yang, Xue.(2008).A note on strong limit theorems for arbitrary stochastic sequences.STATISTICS & PROBABILITY LETTERS,78(14),2018-2023.
MLA	Yang, Weiguo,et al."A note on strong limit theorems for arbitrary stochastic sequences".STATISTICS & PROBABILITY LETTERS 78.14(2008):2018-2023.