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- Publisher Website: 10.1006/jmva.1998.1806
- Scopus: eid_2-s2.0-0010343944
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Article: A Strong Representation of the Product-Limit Estimator for Left Truncated and Right Censored Data
Title | A Strong Representation of the Product-Limit Estimator for Left Truncated and Right Censored Data |
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Authors | |
Keywords | Almost Sure Representation Censored Data Product-Limit Estimator Truncated Data |
Issue Date | 1999 |
Publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmva |
Citation | Journal Of Multivariate Analysis, 1999, v. 69 n. 2, p. 261-280 How to Cite? |
Abstract | In this paper we consider the TJW product-limit estimator F̂n(x) of an unknown distribution function F when the data are subject to random left truncation and right censorship. An almost sure representation of PL-estimator F̂n(x) is derived with an improved error bound under some weaker assumptions. We obtain the strong approximation of F̂n(x) - F(x) by Gaussian processes and the functional law of the iterated logarithm is proved for maximal derivation of the product-limit estimator to F. A sharp rate of convergence theorem concerning the smoothed TJW product-limit estimator is obtained. Asymptotic properties of kernel estimators of density function based on TJW product-limit estimator is given. © 1999 Academic Press. |
Persistent Identifier | http://hdl.handle.net/10722/171989 |
ISSN | 2023 Impact Factor: 1.4 2023 SCImago Journal Rankings: 0.837 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Zhou, Y | en_US |
dc.contributor.author | Yip, PSF | en_US |
dc.date.accessioned | 2012-10-30T06:19:32Z | - |
dc.date.available | 2012-10-30T06:19:32Z | - |
dc.date.issued | 1999 | en_US |
dc.identifier.citation | Journal Of Multivariate Analysis, 1999, v. 69 n. 2, p. 261-280 | en_US |
dc.identifier.issn | 0047-259X | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/171989 | - |
dc.description.abstract | In this paper we consider the TJW product-limit estimator F̂n(x) of an unknown distribution function F when the data are subject to random left truncation and right censorship. An almost sure representation of PL-estimator F̂n(x) is derived with an improved error bound under some weaker assumptions. We obtain the strong approximation of F̂n(x) - F(x) by Gaussian processes and the functional law of the iterated logarithm is proved for maximal derivation of the product-limit estimator to F. A sharp rate of convergence theorem concerning the smoothed TJW product-limit estimator is obtained. Asymptotic properties of kernel estimators of density function based on TJW product-limit estimator is given. © 1999 Academic Press. | en_US |
dc.language | eng | en_US |
dc.publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmva | en_US |
dc.relation.ispartof | Journal of Multivariate Analysis | en_US |
dc.subject | Almost Sure Representation | en_US |
dc.subject | Censored Data | en_US |
dc.subject | Product-Limit Estimator | en_US |
dc.subject | Truncated Data | en_US |
dc.title | A Strong Representation of the Product-Limit Estimator for Left Truncated and Right Censored Data | en_US |
dc.type | Article | en_US |
dc.identifier.email | Yip, PSF: sfpyip@hku.hk | en_US |
dc.identifier.authority | Yip, PSF=rp00596 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1006/jmva.1998.1806 | - |
dc.identifier.scopus | eid_2-s2.0-0010343944 | en_US |
dc.identifier.hkuros | 49239 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0010343944&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 69 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.spage | 261 | en_US |
dc.identifier.epage | 280 | en_US |
dc.identifier.isi | WOS:000080242200007 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Zhou, Y=24292254900 | en_US |
dc.identifier.scopusauthorid | Yip, PSF=7102503720 | en_US |
dc.identifier.issnl | 0047-259X | - |