Bivariate estimation with right-truncated data

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dc.citation.epage1165en_US
dc.citation.issueNumber435en_US
dc.citation.spage1152en_US
dc.citation.volumeNumber91en_US
dc.contributor.authorGürler, Ü.en_US
dc.date.accessioned2016-02-08T10:50:24Z
dc.date.available2016-02-08T10:50:24Z
dc.date.issued1996en_US
dc.departmentDepartment of Industrial Engineeringen_US
dc.description.abstractBivariate estimation with survival data has received considerable attention recently; however, most of the work has focused on random censoring models. Another common feature of survival data, random truncation, is considered in this study. Truncated data may arise if the time origin of the events under study precedes the observation period. In a random right-truncation model, one observes the iid samples of (Y, T) only if (Y ≤ T), where Y is the variable of interest and T is an independent variable that prevents the complete observation of Y. Suppose that (V, X) is a bivariate vector of random variables, where Y is subject to right truncation. In this study the bivariate reverse-hazard vector is introduced, and a nonparametric estimator is suggested. An estimator for the bivariate survival function is also proposed. Weak convergence and strong consistency of this estimator are established via a representation by iid variables. An expression for the limiting covariance function is provided, and an estimator for the limiting variance is presented. Alternative methods for estimating the bivariate distribution function are discussed. Obtaining large-sample results for the bivariate distribution functions present more technical difficulties, and thus their performances are compared via simulation results. Finally, an application of the suggested estimators is presented for transfusion-related AIDS (TR-AIDS) data on the incubation time.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T10:50:24Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 1996en
dc.identifier.doi10.1080/01621459.1996.10476985en_US
dc.identifier.issn0162-1459
dc.identifier.urihttp://hdl.handle.net/11693/25784
dc.language.isoEnglishen_US
dc.publisherTaylor & Francisen_US
dc.relation.isversionofhttps://doi.org/10.1080/01621459.1996.10476985en_US
dc.source.titleJournal of the American Statistical Associationen_US
dc.subjectBivariate distributionen_US
dc.subjectNonparametric estimationen_US
dc.subjectReverse hazarden_US
dc.subjectWeak convergenceen_US
dc.titleBivariate estimation with right-truncated dataen_US
dc.typeArticleen_US

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