A limit theorem for partial sums of random variables and its applications

doi:10.1016/S0167-7152(02)00428-5

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	A limit theorem for partial sums of random variables and its applications
	Liu, W ; Yan, JA; Yang, WG
	2003-03-15
发表期刊	STATISTICS & PROBABILITY LETTERS
ISSN	0167-7152
卷号	62 期号:1 页码:79-86
摘要	In this paper, we establish a new limit theorem for partial sums of random variables. As corollaries, we generalize the extended Borel-Cantelli lemma, and obtain some strong laws of large numbers for Markov chains as well as a generalized strong ergodic theorem for irreducible and Positive recurrent Markov chains. (C) 2003 Elsevier Science B.V. All rights reserved.
关键词	extended Borel-Cantelli lemma strong laws of large numbers
DOI	10.1016/S0167-7152(02)00428-5
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000181571900009
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/18221
专题	应用数学研究所
作者单位	1.Hebei Univ Technol, Dept Math, Tianjin 300130, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Jiangsu Univ, Fac Sci, Zhenjiang 212013, Peoples R China
推荐引用方式 GB/T 7714	Liu, W,Yan, JA,Yang, WG. A limit theorem for partial sums of random variables and its applications[J]. STATISTICS & PROBABILITY LETTERS,2003,62(1):79-86.
APA	Liu, W,Yan, JA,&Yang, WG.(2003).A limit theorem for partial sums of random variables and its applications.STATISTICS & PROBABILITY LETTERS,62(1),79-86.
MLA	Liu, W,et al."A limit theorem for partial sums of random variables and its applications".STATISTICS & PROBABILITY LETTERS 62.1(2003):79-86.