Inequalities of maximum of partial sums and weak convergence for a class of weak dependent random variables

doi:10.1007/s10114-005-0601-x

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	Inequalities of maximum of partial sums and weak convergence for a class of weak dependent random variables
	Wang, JF ; Bin Lu, F
	2006-05-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	22 期号:3 页码:693-700
摘要	In this paper, we establish a Rosenthal-type inequality of the maximum of partial sums for rho(-)-mixing random fields. As its applications we get the Hajeck-Renyi inequality and weak convergence of sums of rho(-)-mixing sequence. These results extend related results for NA sequence and p(*)-mixing random fields.
关键词	p(-)mixing p*-mixing NA Rosenthal type inequalities weak convergence
DOI	10.1007/s10114-005-0601-x
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000237536600008
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2768
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, JF
作者单位	1.Hangzhou Teachers Coll, Dept Math, Hangzhou 310012, Peoples R China 2.Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, JF,Bin Lu, F. Inequalities of maximum of partial sums and weak convergence for a class of weak dependent random variables[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2006,22(3):693-700.
APA	Wang, JF,&Bin Lu, F.(2006).Inequalities of maximum of partial sums and weak convergence for a class of weak dependent random variables.ACTA MATHEMATICA SINICA-ENGLISH SERIES,22(3),693-700.
MLA	Wang, JF,et al."Inequalities of maximum of partial sums and weak convergence for a class of weak dependent random variables".ACTA MATHEMATICA SINICA-ENGLISH SERIES 22.3(2006):693-700.