A NEW PROOF OF THE EQUIVALENCE OF ALMOST SURE STABILITY AND 1-COMPLETE STABILITY

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	A NEW PROOF OF THE EQUIVALENCE OF ALMOST SURE STABILITY AND 1-COMPLETE STABILITY
	ZHANG, HQ; WANG, RX
	1991-05-01
发表期刊	UTILITAS MATHEMATICA
ISSN	0315-3681
卷号	39 页码:219-224
摘要	Let X1, X2, ... be i.i.d. random variables with distribution function F. Define mu-n = F-1 (1 - n-1) and M(n) = max (X1, ..., X(n)). {M(n)} is called almost surely stable if M(n)/mu-n --> 1 a.s. {M(n)} is called r-completely stable if SIGMA-n = 1 infinity n(r)-2 P (\(M(n)/mu-n) - 1\ > epsilon) < infinity for every epsilon > 0, where r greater-than-or-equal-to 1. In this paper, we give a new proof of the equivalence of almost sure stability and 1-complete stability.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Statistics & Probability
WOS记录号	WOS:A1991GB43700018
出版者	UTIL MATH PUBL INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7758
专题	应用数学研究所
作者单位	1.CHINESE ACAD SCI, INST APPL MATH, BEIJING, PEOPLES R CHINA 2.XIAN JIAO TONG UNIV, DEPT MATH, XIAN, PEOPLES R CHINA
推荐引用方式 GB/T 7714	ZHANG, HQ,WANG, RX. A NEW PROOF OF THE EQUIVALENCE OF ALMOST SURE STABILITY AND 1-COMPLETE STABILITY[J]. UTILITAS MATHEMATICA,1991,39:219-224.
APA	ZHANG, HQ,&WANG, RX.(1991).A NEW PROOF OF THE EQUIVALENCE OF ALMOST SURE STABILITY AND 1-COMPLETE STABILITY.UTILITAS MATHEMATICA,39,219-224.
MLA	ZHANG, HQ,et al."A NEW PROOF OF THE EQUIVALENCE OF ALMOST SURE STABILITY AND 1-COMPLETE STABILITY".UTILITAS MATHEMATICA 39(1991):219-224.