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Maximum likelihood estimation in the proportional hazards model of random censorship
Authors:Myles Hollander  Glen Laird  Kai-sheng Song
Affiliation:Dept. of Statistics and Statistical Consulting Center , Florida State University, Tallahassee, Florida, 32306-4330, USA
Abstract:The maximum likelihood estimator (MLE) for the survival function STunder the proportional hazards model of censorship is derived and shown to differ from the Abdushukurov-Cheng-Lin estimator when the class of allowable distributions includes all continuous and discrete distributions. The estimators are compared via an example. The MLE is calculated using a Newton-Raphson iterative procedure and implemented via a FORTRAN algorithm.
Keywords:Proportional hazards model  Maximum likelihood estimation  Newton-Raphson iteration
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