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

TitleThe almost sure behavior of the oscillation modulus for PL-process and cumulative hazard process under random censorship
Authors
Zhou, YSun, LYip, PSF
KeywordsCensorship
Cumulative Hazard Process
Law Of The Iterated Logarithm (Lil)
Oscillation Modulus
Product-Limit Process
Issue Date1999
PublisherScience in China Press. The Journal's web site is located at http://www.scichina.com:8081/sciAe/EN/volumn/current.shtml
Citation
Science In China, Series A: Mathematics, Physics, Astronomy, 1999, v. 42 n. 3, p. X-237 How to Cite?
DOI: http://dx.doi.org/10.1007/BF02879056
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.
Persistent Identifierhttp://hdl.handle.net/10722/172083
ISSN
1006-9283
2011 Impact Factor: 0.701
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorZhou, Yen_US
dc.contributor.authorSun, Len_US
dc.contributor.authorYip, PSFen_US
dc.date.accessioned2012-10-30T06:20:02Z-
dc.date.available2012-10-30T06:20:02Z-
dc.date.issued1999en_US
dc.identifier.citationScience In China, Series A: Mathematics, Physics, Astronomy, 1999, v. 42 n. 3, p. X-237en_US
dc.identifier.issn1006-9283en_US
dc.identifier.urihttp://hdl.handle.net/10722/172083-
dc.description.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.en_US
dc.languageengen_US
dc.publisherScience in China Press. The Journal's web site is located at http://www.scichina.com:8081/sciAe/EN/volumn/current.shtmlen_US
dc.relation.ispartofScience in China, Series A: Mathematics, Physics, Astronomyen_US
dc.subjectCensorshipen_US
dc.subjectCumulative Hazard Processen_US
dc.subjectLaw Of The Iterated Logarithm (Lil)en_US
dc.subjectOscillation Modulusen_US
dc.subjectProduct-Limit Processen_US
dc.titleThe almost sure behavior of the oscillation modulus for PL-process and cumulative hazard process under random censorshipen_US
dc.typeArticleen_US
dc.identifier.emailYip, PSF: sfpyip@hku.hken_US
dc.identifier.authorityYip, PSF=rp00596en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1007/BF02879056-
dc.identifier.scopuseid_2-s2.0-0043264839en_US
dc.identifier.hkuros60182-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0043264839&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume42en_US
dc.identifier.issue3en_US
dc.identifier.spageXen_US
dc.identifier.epage237en_US
dc.publisher.placeChinaen_US
dc.identifier.scopusauthoridZhou, Y=24292254900en_US
dc.identifier.scopusauthoridSun, L=7403957890en_US
dc.identifier.scopusauthoridYip, PSF=7102503720en_US

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