Shared frailty model for recurrent event data with multiple causes

The topic of heterogeneity in the analysis of recurrent event data has received considerable attention recent times. Frailty models are widely employed in such situations as they allow us to model the heterogeneity through common random effect. In this paper, we introduce a shared frailty model for gap time distributions of recurrent events with multiple causes. The parameters of the model are estimated using EM algorithm. An extensive simulation study is used to assess the performance of the method. Finally, we apply the proposed model to a real-life data.

[1]  T. Lancaster,et al.  Panel Data with Survival: Hospitalization of HIV-Positive Patients , 1998 .

[2]  Laurence L. George,et al.  The Statistical Analysis of Failure Time Data , 2003, Technometrics.

[3]  Erik T. Parner,et al.  Asymptotic theory for the correlated gamma-frailty model , 1998 .

[4]  Donglin Zeng,et al.  Efficient estimation of semiparametric transformation models for counting processes , 2006 .

[5]  T. Louis Finding the Observed Information Matrix When Using the EM Algorithm , 1982 .

[6]  Lei Liu,et al.  A Joint Frailty Model for Survival and Gap Times Between Recurrent Events , 2007, Biometrics.

[7]  Ying Zhang,et al.  Analysing panel count data with informative observation times. , 2006, Biometrika.

[8]  Mei-Cheng Wang,et al.  Analyzing Recurrent Event Data With Informative Censoring , 2001, Journal of the American Statistical Association.

[9]  Virginie Rondeau,et al.  Joint frailty models for recurring events and death using maximum penalized likelihood estimation: application on cancer events. , 2006 .

[10]  Niels Keiding,et al.  Statistical Models Based on Counting Processes , 1993 .

[11]  Mei-Cheng Wang,et al.  Joint Modeling and Estimation for Recurrent Event Processes and Failure Time Data , 2004, Journal of the American Statistical Association.

[12]  Dorota M. Dabrowska,et al.  Cox regression in a Markov renewal model : an application to the analysis of bone marrow transplant data , 1994 .

[13]  P. G. Sankaran,et al.  Additive hazards models for gap time data with multiple causes , 2012 .

[14]  Jerald F. Lawless,et al.  Some Simple Robust Methods for the Analysis of Recurrent Events , 1995 .

[15]  Susan A. Murphy,et al.  Asymptotic Theory for the Frailty Model , 1995 .

[16]  J. Kalbfleisch,et al.  The Statistical Analysis of Failure Time Data: Kalbfleisch/The Statistical , 2002 .

[17]  Zhiliang Ying,et al.  Nonparametric estimation of the gap time distributions for serial events with censored data , 1999 .

[18]  B. Lin Nonparametric estimation of the gap time distributions for serial events with censored data , 1999 .

[19]  Chiung-Yu Huang,et al.  Nonparametric estimation of the bivariate recurrence time distribution. , 2005, Biometrics.

[20]  Richard J. Cook,et al.  The Statistical Analysis of Recurrent Events , 2007 .

[21]  Liuquan Sun,et al.  A class of accelerated means regression models for recurrent event data , 2008, Lifetime data analysis.

[22]  Donglin Zeng,et al.  A semiparametric additive rates model for recurrent event data , 2006, Lifetime data analysis.

[23]  D. Ghosh Accelerated Rates Regression Models for Recurrent Failure Time Data , 2004, Lifetime data analysis.

[24]  I. Langner Survival Analysis: Techniques for Censored and Truncated Data , 2006 .

[25]  James R. Kenyon,et al.  Analysis of Multivariate Survival Data , 2002, Technometrics.

[26]  Jianwen Cai,et al.  Some Graphical Displays and Marginal Regression Analyses for Recurrent Failure Times and Time Dependent Covariates , 1993 .

[27]  Zhiliang Ying,et al.  Semiparametric regression for the mean and rate functions of recurrent events , 2000 .

[28]  Douglas E Schaubel,et al.  Semiparametric Analysis of Correlated Recurrent and Terminal Events , 2007, Biometrics.

[29]  N. Balakrishnan,et al.  Generalized gamma frailty model , 2006, Statistics in medicine.

[30]  Jerald F. Lawless,et al.  Analysis of repeated failures or durations, with application to shunt failures for patients with paediatric hydrocephalus , 2001 .

[31]  T. Santner,et al.  An analysis of comparative carcinogenesis experiments based on multiple times to tumor. , 1980, Biometrics.

[32]  R. Wolfe,et al.  Shared Frailty Models for Recurrent Events and a Terminal Event , 2004, Biometrics.

[33]  Xingwei Tong,et al.  Regression Analysis of Panel Count Data with Dependent Observation Times , 2007, Biometrics.

[34]  Gang Li,et al.  A Bayesian approach to joint analysis of longitudinal measurements and competing risks failure time data , 2007, Statistics in medicine.

[35]  D.,et al.  Regression Models and Life-Tables , 2022 .

[36]  Martin T. Wells,et al.  Nonparametric estimation of successive duration times under dependent censoring , 1998 .

[37]  E. Parner,et al.  Correcting for selection using frailty models , 2006, Statistics in medicine.

[38]  Per Kragh Andersen,et al.  Testing Goodness of Fit of Cox's Regression and Life Model , 1982 .

[39]  Ori Rosen,et al.  Multivariate Bernoulli Mixture Models with Application to Postmortem Tissue Studies in Schizophrenia , 2007, Biometrics.