Product-limit estimators of the survival function with twice censored data

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dc.creatorPatilea, Valentin
dc.creatorRolin, Jean-Marie
dc.date2006-07-03
dc.date.accessioned2026-07-07T08:07:59Z
dc.date.available2026-07-07T08:07:59Z
dc.descriptionA model for competing (resp. complementary) risks survival data where the failure time can be left (resp. right) censored is proposed. Product-limit estimators for the survival functions of the individual risks are derived. We deduce the strong convergence of our estimators on the whole real half-line without any additional assumptions and their asymptotic normality under conditions concerning only the observed distribution. When the observations are generated according to the double censoring model introduced by Turnbull, the product-limit estimators represent upper and lower bounds for Turnbull's estimator.
dc.descriptionPublished at http://dx.doi.org/10.1214/009053606000000065 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0607036
dc.identifierhttp://arxiv.org/abs/math/0607036
dc.identifierAnnals of Statistics 2006, Vol. 34, No. 2, 925-938
dc.identifierdoi:10.1214/009053606000000065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131115
dc.subjectStatistics Theory
dc.subject62N01 (Primary) 62G05, 62N02 (Secondary)
dc.titleProduct-limit estimators of the survival function with twice censored data
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