Abstract.
This paper deals with the estimation of a survival curve in models with random right censoring and dependent censoring mechanism. We consider a specific dependent censorship model in which conditional on a covariate, the survival and censoring times are assumed to be independent. We investigate asymptotic properties of a corrected version of a survival curve estimator introduced by Cheng (1989). In particular we show uniform strong consistency and weak convergence to a Gaussian process. Comparisons of this estimator with the well-known Kaplan-Meier-estimator are included. Finally, some examples illustrate how the estimator performs.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: February 2000
Rights and permissions
About this article
Cite this article
Jensen, U., Wiedmann, J. Estimation of a survival curve with randomly censored data in the presence of a covariate. Metrika 53, 223–244 (2001). https://doi.org/10.1007/s001840000107
Issue Date:
DOI: https://doi.org/10.1007/s001840000107