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Hazard regression with penalized spline: The smoothing parameter choice and asymptotics
Authors:Tong Xingwei  Hu Tao  Cui Hengjian
Institution:1. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China;2. Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China
Abstract:In this article, we use penalized spline to estimate the hazard function from a set of censored failure time data. A new approach to estimate the amount of smoothing is provided. Under regularity conditions we establish the consistency and the asymptotic normality of the penalized likelihood estimators. Numerical studies and an example are conducted to evaluate the performances of the new procedure.
Keywords:proportional hazards  penalized spline  smoothing parameter choice  asymptotic normality
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