Approximating the Baseline Hazard Function by Taylor Series for Interval-Censored Time-to-Event Data

2013 ◽  
Vol 23 (3) ◽  
pp. 695-708 ◽  
Author(s):  
Ding-Geng Chen ◽  
Lili Yu ◽  
Karl E. Peace ◽  
Y. L. Lio ◽  
Yibin Wang
Keyword(s):  
Taylor Series ◽  
Hazard Function ◽  
Event Data ◽  
Time To Event ◽  
Baseline Hazard ◽  
Baseline Hazard Function ◽  
Time To Event Data ◽  
Interval Censored

Simultaneous monitoring for regression coefficients and baseline hazard profile in Cox modeling of time-to-event data

Biostatistics ◽  
2020 ◽  
Author(s):  
Yishu Xue ◽  
Jun Yan ◽  
Elizabeth D Schifano
Keyword(s):  
Control Chart ◽  
Hazard Function ◽  
Cox Model ◽  
Regression Coefficients ◽  
Event Data ◽  
Time To Event ◽  
Baseline Hazard ◽  
Baseline Hazard Function ◽  
Time To Event Data ◽  
Profile Control

Summary The Cox model is the most popular tool for analyzing time-to-event data. The nonparametric baseline hazard function can be as important as the regression coefficients in practice, especially when prediction is needed. In the context of stochastic process control, we propose a simultaneous monitoring method that combines a multivariate control chart for the regression coefficients and a profile control chart for the cumulative baseline hazard function that allows for data blocks of possibly different censoring rates and sample sizes. The method can detect changes in either the parametric or the nonparametric part of the Cox model. In simulation studies, the proposed method maintains its size and has substantial power in detecting changes in either part of the Cox model. An application in lymphoma survival analysis in which patients were enrolled by 2-month intervals in the Surveillance, Epidemiology, and End Results program identifies data blocks with structural model changes.

Marginalized models for right-truncated and interval-censored time-to-event data

2019 ◽  
Vol 29 (6) ◽  
pp. 1043-1067
Author(s):  
Sammy Chebon ◽  
Christel Faes ◽  
Ann De Smedt ◽  
Helena Geys
Keyword(s):  
Event Data ◽  
Time To Event ◽  
Time To Event Data ◽  
Interval Censored ◽  
Marginalized Models

Flexible modelling of simultaneously interval censored and truncated time-to-event data

2015 ◽  
Vol 14 (4) ◽  
pp. 311-321 ◽  
Author(s):  
Sammy Chebon ◽  
Christel Faes ◽  
Ann De Smedt ◽  
Helena Geys
Keyword(s):  
Event Data ◽  
Time To Event ◽  
Time To Event Data ◽  
Interval Censored
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