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Simultaneous marginal survival estimators when doubly censored data is present
dc.contributor.author | Julià, Olga |
dc.contributor.author | Gómez Melis, Guadalupe |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa |
dc.date.accessioned | 2011-05-19T17:57:30Z |
dc.date.available | 2011-05-19T17:57:30Z |
dc.date.created | 2010-10 |
dc.date.issued | 2010-10 |
dc.identifier.citation | Julià, O.; Gómez, G. Simultaneous marginal survival estimators when doubly censored data is present. "LifetIme data analysis", Octubre 2010. |
dc.identifier.issn | 1380-7870 |
dc.identifier.uri | http://hdl.handle.net/2117/12619 |
dc.description.abstract | A doubly censoring scheme occurs when the lifetimes T being measured, from a well-known time origin, are exactly observed within a window [L,R] of observational time and are otherwise censored either from above (right-censored observations) or below (left-censored observations). Sample data consists on the pairs (U, δ) whereU = min{R, max{T,L}} and δ indicates whether T is exactly observed (δ = 0), right-censored (δ = 1) or left-censored (δ = −1). We are interested in the estimation of the marginal behaviour of the three random variables T,L and R based on the observed pairs (U, δ).We propose new nonparametric simultaneous marginal estimators ˆS T , ˆSL and ˆSR for the survival functions of T,L and R, respectively, by means of an inverse-probability-of-censoring approach. The proposed estimators ˆST , ˆSL and ˆS R are not computationally intensive, generalize the empirical survival estimator and reduce to the Kaplan-Meier estimator in the absence of left-censored data. Furthermore, ˆS T is equivalent to a self-consistent estimator, is uniformly strongly consistent and asymptotically normal. The method is illustrated with data from a cohort of drug users recruited in a detoxification program in Badalona (Spain). For these data we estimate the survival function for the elapsed time from starting IV-drugs to AIDS diagnosis, as well as the potential follow-up time. A simulation study is discussed to assess the performance of the three survival estimators for moderate sample sizes and different censoring levels. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica |
dc.subject.lcsh | Survival analysis (Biometry) |
dc.title | Simultaneous marginal survival estimators when doubly censored data is present |
dc.type | Article |
dc.subject.lemac | Anàlisi de supervivència (Biometria) |
dc.contributor.group | Universitat Politècnica de Catalunya. GREMA - Grup de Recerca en Estadística Matemàtica i les seves Aplicacions |
dc.identifier.doi | 10.1007/s10985-010-9186-5 |
dc.subject.ams | Classificació AMS::62 Statistics::62N Survival analysis and censored data |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 5330103 |
dc.description.version | Postprint (published version) |
local.citation.author | Julià, O.; Gómez, G. |
local.citation.publicationName | LifetIme data analysis |
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