Nonparametric survival function estimation for data subject to interval censoring case 2. Issue 4 (2nd October 2019)

• Record Type: Journal Article
• Authors: Bouaziz, Olivier; Brunel, Elodie; Comte, Fabienne
• Is Part Of: Journal of nonparametric statistics. Volume 31:Issue 4(2019)
• Page Start: 952
• Page End: 987
• Publication Date: 2019-10-02
• Subjects: Interval censoring -- nonparametric estimation -- regression contrast -- survival function; Nonparametric statistics -- Periodicals; 519.5
• DOI: 10.1080/10485252.2019.1669791
• Languages: English
• ISSNs: 1048-5252

Abstract

ABSTRACT: In this paper, we propose a new strategy of estimation for the survival function S, associated to a survival time subject to interval censoring case 2. Our method is based on a least squares contrast of regression type with parameters corresponding to the coefficients of the development of S on an orthonormal basis. We obtain a collection of projection estimators where the dimension of the projection space has to be adequately chosen via a model selection procedure. For compactly supported bases, we obtain adaptive results leading to general nonparametric rates. However, our results can be used for non-compactly supported bases, a true novelty in regression setting, and we use specifically the Laguerre basis which is R + -supported and thus well suited when non-negative random variables are involved in the model. Simulation results comparing our proposal with previous strategies show that it works well in a very general context. A real dataset is considered to illustrate the methodology.