Maximum likelihood estimation in the proportional hazards cure model |
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Authors: | Wenbin Lu |
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Institution: | (1) Department of Statistics, North Carolina State University, 2501 Founders Drive, Raleigh, NC 27695, USA |
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Abstract: | The proportional hazards cure model generalizes Cox’s proportional hazards model which allows that a proportion of study subjects
may never experience the event of interest. Here nonparametric maximum likelihood approach is proposed to estimating the cumulative
hazard and the regression parameters. The asymptotic properties of the resulting estimators are established using the modern
empirical process theory. And the estimators for the regression parameters are shown to be semiparametric efficient. |
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Keywords: | Censoring Maximum likelihood estimation Mixture models Proportional hazards cure model Semiparametric efficiency |
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