General partially linear varying-coefficient transformation model with right censored data |
| |
Authors: | Jianbo Li Riquan Zhang |
| |
Institution: | 1. School of Mathematical Sciences, Xuzhou Normal University, Xuzhou, Jiangsu 221116, PR China;2. School of Finance and Statistics, East China Normal University, Shanghai 200241, PR China;3. Department of Mathematics, Shanxi Datong University, Datong 037009, PR China |
| |
Abstract: | In this paper, a unified maximum marginal likelihood estimation procedure is proposed for the analysis of right censored data using general partially linear varying-coefficient transformation models (GPLVCTM), which are flexible enough to include many survival models as its special cases. Unknown functional coefficients in the models are approximated by cubic B-spline polynomial. We estimate B-spline coefficients and regression parameters by maximizing marginal likelihood function. One advantage of this procedure is that it is free of both baseline and censoring distribution. Through simulation studies and a real data application (VA data from the Veteran's Administration Lung Cancer Study Clinical Trial), we illustrate that the proposed estimation procedure is accurate, stable and practical. |
| |
Keywords: | General partially linear varying-coefficient transformation model Marginal likelihood B-spline |
本文献已被 ScienceDirect 等数据库收录! |
|