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dc.contributor.authorBantis, Leonidasen
dc.contributor.authorTsimikas, Johnen
dc.contributor.authorGeorgiou, Stelios N.en
dc.creatorBantis, Leonidasen
dc.creatorTsimikas, Johnen
dc.creatorGeorgiou, Stelios N.en
dc.description.abstractIn this paper we explore the estimation of survival probabilities via a smoothed version of the survival function, in the presence of censoring. We investigate the fit of a natural cubic spline on the cumulative hazard function under appropriate constraints. Under the proposed technique the problem reduces to a restricted least squares one, leading to convex optimization. The approach taken in this paper is evaluated and compared via simulations to other known methods such as the Kaplan Meier and the logspline estimator. Our approach is easily extended to address estimation of survival probabilities in the presence of covariates when the proportional hazards model assumption holds. In this case the method is compared to a restricted cubic spline approach that involves maximum likelihood. The proposed approach can be also adjusted to accommodate left censoring. ABSTRACT FROM AUTHOR]; Copyright of Lifetime Data Analysis is the property of Springer Science & Business Media B.V. and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)en
dc.publisherSpringer Science & Business Media B.Ven
dc.sourceLifetime Data Analysisen
dc.subjectDistribution (probability theory)en
dc.subjectEstimation theoryen
dc.subjectProbability theoryen
dc.subjectSurvival analysis (biometry)en
dc.subjectProportional hazards modelsen
dc.subjectLeast squaresen
dc.subjectComparative studiesen
dc.subjectConstrained least squaresen
dc.subjectSmooth distribution functionen
dc.subjectSmooth survival estimationen
dc.titleSurvival estimation through the cumulative hazard function with monotone natural cubic splinesen
dc.description.endingpage396Σχολή Κοινωνικών Επιστημών και Επιστημών Αγωγής / Faculty of Social Sciences and EducationΤμήμα Ψυχολογίας / Department of Psychology
dc.source.abbreviationLifetime Data Anal.en
dc.contributor.orcidGeorgiou, Stelios N. [0000-0003-0419-1214]

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