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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
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN1006-9283
Volume42Issue:3Pages:225-237
AbstractThe 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.
Keywordcensorship oscillation modulus product-limit process cumulative hazard process law of the iterated logarithm (LIL)
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000080125600001
PublisherSCIENCE PRESS
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14718
Collection中国科学院数学与系统科学研究院
Affiliation1.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
2.Univ Hong Kong, Dept Stat, Hong Kong, Peoples R China
Recommended Citation
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.
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