Maximum likelihood estimation of a survival function under the koziol-green proportional hazards model |
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| Institution: | 1. University of Houston, TX, USA;2. Institute of Statistics, Academia Sinica, Beijing, China;1. Department of Mathematics, Zhejiang International Studies University, Hangzhou 310012, PR China;2. Department of Mathematics, Zhejiang University, Hangzhou 310027, PR China;1. Touro College School of Health Sciences, Faculty of Doctor of Physical Therapy Program, Central Islip, NY, USA;2. Stony Brook University School of Health Professions, Faculty of Doctor of Physical Therapy Program, Stonybrook, NY, USA |
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| 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)]β for certain positive constant β. 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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