scholarly journals A general frailty model to accommodate individual heterogeneity in the acquisition of multiple infections: An application to bivariate current status data

2020 ◽  
Vol 39 (12) ◽  
pp. 1695-1714
Author(s):  
Thao M.P. Tran ◽  
Steven Abrams ◽  
Roel Braekers
Keyword(s):  
Frailty Model ◽  
Current Status Data ◽  
Individual Heterogeneity ◽  
Current Status ◽  
Multiple Infections ◽  
Status Data

PENALIZED LOG-LIKELIHOOD ESTIMATION FOR COX-FRAILTY MODEL WITH NONINFORMATIVE BIVARIATE CURRENT STATUS DATA

2021 ◽  
pp. 16-27
Author(s):  
Alhassan Faisal
Keyword(s):  
Variance Estimation ◽  
Proportional Hazards ◽  
Likelihood Estimation ◽  
Frailty Model ◽  
Cox Proportional Hazards ◽  
Current Status Data ◽  
Current Status ◽  
Hazard Functions ◽  
Failure Times ◽  
Status Data

A Penalized Maximum Likelihood Estimation (PMLE) procedure is proposed for Cox proportional hazards frailty model with noninformative bivariate current status data. An integrated splines (I-splines) was used to approximate the two unknown baseline cumulative hazard functions of the failure times. The one-parameter gamma frailty distribution was used to model the correlation between the two failure times. An easy to implement computational algorithm is proposed to estimate the regression and splines parameters. Bayesian technique as proposed by Wahba (1983) was employed for the variance estimation. The statistical properties of the estimated parameters were studied through extensive simulation and it was observed that the PMLEs were consistent, asymptotically normal and efcient. In addition, the estimators were robust to the choice of knots, censoring rates and type of frailty distribution used. The proposed methodology is further demonstrated through the analysis of the tumorigenicity experiment data by Lindsey and Ryan (1994).

A frailty model approach for regression analysis of multivariate current status data

2009 ◽  
Vol 28 (27) ◽  
pp. 3424-3436 ◽  
Author(s):  
Man-Hua Chen ◽  
Xingwei Tong ◽  
Jianguo Sun
Keyword(s):  
Regression Analysis ◽  
Frailty Model ◽  
Current Status Data ◽  
Current Status ◽  
Status Data ◽  
Model Approach

Regression analysis of informative current status data with the additive hazards model

2014 ◽  
Vol 21 (2) ◽  
pp. 241-258 ◽  
Author(s):  
Shishun Zhao ◽  
Tao Hu ◽  
Ling Ma ◽  
Peijie Wang ◽  
Jianguo Sun
Keyword(s):  
Regression Analysis ◽  
Current Status Data ◽  
Current Status ◽  
Additive Hazards Model ◽  
Additive Hazards ◽  
Hazards Model ◽  
Status Data
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