Cox Regression in a Markov Renewal Model: An Application to the Analysis of Bone Marrow Transplant Data
研究了马尔可夫更新模型中单步转移强度遵循Cox回归模型的估计与预测方法，并用国际骨髓移植登记处数据演示，适用于处理带删失的复发事件数据。
Abstract We discuss estimation and prediction in a Markov renewal model where intensities of the one-step transitions follow a Cox regression model with baseline hazards and covariates depending on the backward recurrence time. A modification of the Andersen and Gill results is given to extend the asymptotic properties of the partial likelihood estimates to this setting. We further consider prediction of the realization of the process in a single individual based on the follow-up information. Data of the International Bone Marrow Transplant Registry are used for illustration purposes. Key Words: CensoringModulated renewal processesPrediction