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Maximum likelihood estimation of a survival function under the koziol-green proportional hazards model

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Disciplines
  • Mathematics

Abstract

Let X and Y be two independent competing lifetimes wih survival functions SF(t) and SG(t). In this paper we, study a proportional-hazards competing risks model characterized by Armitage (1959): SG(t) = SG(t)][beta] for certain positive constant [beta]. The maximum likelihood estimator for SF is proposed, examined and compared with the product limit estimator of Kaplan and Meier (1958). The MLE is shown to be asymptotically more efficient that the PLE under the specified model.

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