The almost sure behavior of the oscillation modulus for PL-process and cumulative hazard process under random censorship

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	The almost sure behavior of the oscillation modulus for PL-process and cumulative hazard process under random censorship
	Zhou, Y; Sun, LQ; Yip, PSF
	1999-03-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	42 期号:3 页码:225-237
摘要	The local behavior of oscillation modulus of the product-limit (PL) process and the cumulative hazard process is investigated when the data are subjected to random censoring. Laws of the iterated logarithm of local oscillation modulus for the PL-process and the cumulative hazard process are established. Some of these results are applied to obtain the almost sure best rates of convergence for various types of density estimators as well as the Bahadur-Kiefer type process.
关键词	censorship oscillation modulus product-limit process cumulative hazard process law of the iterated logarithm (LIL)
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000080125600001
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14718
专题	应用数学研究所
通讯作者	Zhou, Y
作者单位	1.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Univ Hong Kong, Dept Stat, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Y,Sun, LQ,Yip, PSF. The almost sure behavior of the oscillation modulus for PL-process and cumulative hazard process under random censorship[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,1999,42(3):225-237.
APA	Zhou, Y,Sun, LQ,&Yip, PSF.(1999).The almost sure behavior of the oscillation modulus for PL-process and cumulative hazard process under random censorship.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,42(3),225-237.
MLA	Zhou, Y,et al."The almost sure behavior of the oscillation modulus for PL-process and cumulative hazard process under random censorship".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 42.3(1999):225-237.