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Nonparametric estimation of survival functions for doubly censored observations when the lifetime hazard rate is proportionally related to the censoring hazard rates
Authors:José I. Bravo  M. Dolores Esteban
Affiliation:Departarnento de Estadistica e 1.0. Facultad de Mateáaticas , Universidad Cornplutense de Madrid , MADRID, Spain, 28040
Abstract:Let T, X and Y be non-negative random variables, where T is the time of occurrence of an event of interest, X and Y being the lefl and right censoring variables respectively.

In this paper we propose a nonparametric estimator of the survival function, ST, when T, X and Y are supposed to be independent and their corresponding hazard rates are proportionally related. In this way, our results extend Ebrahimi's work (1985) to the doubly censored data case.
Keywords:Right and leff censoring  survival function  non-parametric inference  proportional hazard models
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