Joint analysis of panel count data with an informative observation process and a dependent terminal event

Panel count data occur in many clinical and observational studies, and in many situations, the observation process may be informative and also there may exist a terminal event such as death which stops the follow-up. In this article, we propose a new joint model for the analysis of panel count data in the presence of both an informative observation process and a dependent terminal event via two latent variables. For the inference on the proposed models, a class of estimating equations is developed and the resulting estimators are shown to be consistent and asymptotically normal. In addition, a lack-of-fit test is provided for assessing the adequacy of the models. Simulation studies suggest that the proposed approach works well for practical situations. A real example from a bladder cancer clinical trial is used to illustrate the proposed methods.

[1]  Jon A. Wellner,et al.  TWO LIKELIHOOD-BASED SEMIPARAMETRIC ESTIMATION METHODS FOR PANEL COUNT DATA WITH COVARIATES , 2005, math/0509132.

[2]  Jianguo Sun,et al.  A Class of Two-Sample Nonparametric Tests for Panel Count Data , 2007 .

[3]  Jie Zhou,et al.  Joint Analysis of Longitudinal Data With Informative Observation Times and a Dependent Terminal Event , 2012 .

[4]  Donglin Zeng,et al.  A semiparametric additive rate model for recurrent events with an informative terminal event. , 2010, Biometrika.

[5]  D. Harrington,et al.  Counting Processes and Survival Analysis , 1991 .

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

[7]  S. Zeger,et al.  Longitudinal data analysis using generalized linear models , 1986 .

[8]  Debashis Ghosh,et al.  MARGINAL REGRESSION MODELS FOR RECURRENT AND TERMINAL EVENTS , 2002 .

[9]  Jon A. Wellner,et al.  Weak Convergence and Empirical Processes: With Applications to Statistics , 1996 .

[10]  N. Balakrishnan,et al.  A nonparametric test for the equality of counting processes with panel count data , 2010, Comput. Stat. Data Anal..

[11]  Ni Li,et al.  Semiparametric Transformation Models for Panel Count Data with Dependent Observation Process , 2010 .

[12]  Ying Zhang,et al.  A semiparametric pseudolikelihood estimation method for panel count data , 2002 .

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

[14]  Jianguo Sun,et al.  Variable selection and estimation for multivariate panel count data via the seamless‐${\it L}_{{\rm 0}}$ penalty , 2013 .

[15]  Lee-Jen Wei,et al.  Regression analysis of panel count data with covariate‐dependent observation and censoring times , 2000 .

[16]  Jianguo Sun,et al.  A nonparametric test for panel count data , 2003 .

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

[18]  Lee-Jen Wei,et al.  Regression Parameter Estimation from Panel Counts , 2003 .

[19]  Xingqiu Zhao,et al.  Nonparametric Comparison for Panel Count Data with Unequal Observation Processes , 2011, Biometrics.

[20]  Jianguo Sun,et al.  Analyzing panel count data with a dependent observation process and a terminal event , 2013 .

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

[22]  Xingqiu Zhao,et al.  NEW MULTI-SAMPLE NONPARAMETRIC TESTS FOR PANEL COUNT DATA , 2009, 0904.2952.

[23]  R J Cook,et al.  Marginal analysis of recurrent events and a terminating event. , 1997, Statistics in medicine.

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

[25]  John M. Lachin,et al.  Analysis of Recurrent Events: Nonparametric Methods for Random-Interval Count Data , 1988 .

[26]  Jianguo Sun,et al.  Regression analysis of multivariate panel count data with an informative observation process , 2013, J. Multivar. Anal..

[27]  Narayanaswamy Balakrishnan,et al.  A class of multi-sample nonparametric tests for panel count data , 2011 .

[28]  Jie Zhou,et al.  Semiparametric Transformation Models with Time‐Varying Coefficients for Recurrent and Terminal Events , 2011, Biometrics.

[29]  Xingwei Tong,et al.  Variable Selection for Panel Count Data via Non‐Concave Penalized Estimating Function , 2009 .

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

[31]  J. Kalbfleisch,et al.  The Analysis of Panel Data under a Markov Assumption , 1985 .

[32]  Jianguo Sun,et al.  The Statistical Analysis of Interval-censored Failure Time Data , 2006 .