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Laws of the Iterated Logarithm and a Moderate Deviation of MLE for the Proportional Hazards Model with Incomplete Information
Authors:Yurong Chen  Luqin Liu
Institution:1. School of Mathematics and Statistics, Wuhan University, Wuhan, Chinayrchen.math@whu.edu.cn;3. School of Mathematics and Statistics, Wuhan University, Wuhan, China
Abstract:In this paper, we obtain a law of iterated logarithm, a Chung-type law of iterated logarithm, and a moderate deviation result of the maximum likelihood estimator (MLE) for the unknown regression parameter vector in a proportional hazards model with incomplete information.
Keywords:Incomplete information  Law of the iterated logarithm  Maximum likelihood  Moderate deviation  Proportional hazards model  
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