A strong approximation theorem for quasi-associated sequences

doi:10.1007/s10114-004-0471-7

	A strong approximation theorem for quasi-associated sequences
	Wang, WS
刊名	ACTA MATHEMATICA SINICA-ENGLISH SERIES
	2005-12-01
卷号	21 期号:6 页码:1269-1276
关键词	quasi-association partial sum strong approximation quantile transform
ISSN号	1439-8516
DOI	10.1007/s10114-004-0471-7
英文摘要	By combining the Csorgo-Revesz quantile transform methods and the Skorohod-Strassen martingale embedding theorem, we prove a strong approximation theorem for quasi-associated random variables with mean zero and finite (2 + delta)th moment under polynomial decay rate. As a consequence, the decay rate for a strong approximation theorem of associated sequences of Yu (1996) is weakened.
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000236388600003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/2123]
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, WS
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.E China Normal Univ, Dept Stat, Shanghai 200062, Peoples R China
推荐引用方式 GB/T 7714	Wang, WS. A strong approximation theorem for quasi-associated sequences[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2005,21(6):1269-1276.
APA	Wang, WS.(2005).A strong approximation theorem for quasi-associated sequences.ACTA MATHEMATICA SINICA-ENGLISH SERIES,21(6),1269-1276.
MLA	Wang, WS."A strong approximation theorem for quasi-associated sequences".ACTA MATHEMATICA SINICA-ENGLISH SERIES 21.6(2005):1269-1276.