Volume 59, Issue 4

Semiparametric Analysis of Recurrent Events Data in the Presence of Dependent Censoring

Debashis Ghosh

Department of Biostatistics, University of Michigan, 1420 Washington Heights, Ann Arbor, Michigan, U.S.A. email:ghoshd@umich.edu

Search for more papers by this author
D. Y. Lin

Department of Biostatistics, University of North Carolina, CB#7420, Chapel Hill, North Carolina, U.S.A. email:lin@bios.unc.edu

Search for more papers by this author
First published: 11 December 2003
Citations: 54

Abstract

Summary.  Dependent censoring occurs in longitudinal studies of recurrent events when the censoring time depends on the potentially unobserved recurrent event times. To perform regression analysis in this setting, we propose a semiparametric joint model that formulates the marginal distributions of the recurrent event process and dependent censoring time through scale‐change models, while leaving the distributional form and dependence structure unspecified. We derive consistent and asymptotically normal estimators for the regression parameters. We also develop graphical and numerical methods for assessing the adequacy of the proposed model. The finite‐sample behavior of the new inference procedures is evaluated through simulation studies. An application to recurrent hospitalization data taken from a study of intravenous drug users is provided.

Number of times cited according to CrossRef: 54

  • A bivariate joint frailty model with mixture framework for survival analysis of recurrent events with dependent censoring and cure fraction, Biometrics, 10.1111/biom.13202, 76, 3, (753-766), (2020).
  • Joint modeling of interval counts of recurrent events and death, Biometrical Journal, 10.1002/bimj.201900367, 0, 0, (2020).
  • The mean, variance and correlation for bivariate recurrent event data with a terminal event, Journal of the Royal Statistical Society: Series C (Applied Statistics), 10.1111/rssc.12350, 68, 4, (1029-1049), (2019).
  • Semiparametric frailty models for zero‐inflated event count data in the presence of informative dropout, Biometrics, 10.1111/biom.13085, 75, 4, (1168-1178), (2019).
  • Design and analysis of nested case–control studies for recurrent events subject to a terminal event, Statistics in Medicine, 10.1002/sim.8302, 38, 22, (4348-4362), (2019).
  • How to analyze and interpret recurrent events data in the presence of a terminal event: An application on readmission after colorectal cancer surgery, Statistics in Medicine, 10.1002/sim.8168, 38, 18, (3476-3502), (2019).
  • Aortic Stenosis and Heart Failure: Disease Ascertainment and Statistical Considerations for Clinical Trials, Cardiac Failure Review, 10.15420/cfr.2018.41.2, 5, 2, (99-105), (2019).
  • Covariate adjustment via propensity scores for recurrent events in the presence of dependent censoring, Communications in Statistics - Theory and Methods, 10.1080/03610926.2019.1634208, (1-21), (2019).
  • An additive–multiplicative mean model for panel count data with dependent observation and dropout processes, Scandinavian Journal of Statistics, 10.1111/sjos.12357, 46, 2, (414-431), (2018).
  • Joint analysis of recurrent event data with additive–multiplicative hazards model for the terminal event time, Metrika, 10.1007/s00184-018-0654-3, 81, 5, (523-547), (2018).
  • Quantifying the totality of treatment effect with multiple event‐time observations in the presence of a terminal event from a comparative clinical study, Statistics in Medicine, 10.1002/sim.7907, 37, 25, (3589-3598), (2018).
  • High-dose influenza vaccine to reduce clinical outcomes in high-risk cardiovascular patients: Rationale and design of the INVESTED trial, American Heart Journal, 10.1016/j.ahj.2018.05.007, 202, (97-103), (2018).
  • Non-parametric recurrent events analysis with BART and an application to the hospital admissions of patients with diabetes, Biostatistics, 10.1093/biostatistics/kxy032, (2018).
  • Semiparametric estimation of the accelerated mean model with panel count data under informative examination times, Biometrics, 10.1111/biom.12840, 74, 3, (944-953), (2017).
  • Covariate adjustment using propensity scores for dependent censoring problems in the accelerated failure time model, Statistics in Medicine, 10.1002/sim.7513, 37, 3, (390-404), (2017).
  • Joint modeling of longitudinal, recurrent events and failure time data for survivor's population, Biometrics, 10.1111/biom.12693, 73, 4, (1150-1160), (2017).
  • Median Analysis of Repeated Measures Associated with Recurrent Events in Presence of Terminal Event, The International Journal of Biostatistics, 10.1515/ijb-2016-0057, 13, 1, (2017).
  • Joint Scale-Change Models for Recurrent Events and Failure Time, Journal of the American Statistical Association, 10.1080/01621459.2016.1173557, 112, 518, (794-805), (2017).
  • A joint modeling approach for multivariate survival data with random length, Biometrics, 10.1111/biom.12588, 73, 2, (666-677), (2016).
  • Empirical likelihood confidence bands for mean functions of recurrent events with competing risks and a terminal event, ESAIM: Probability and Statistics, 10.1051/ps/2016004, 20, (66-94), (2016).
  • Analysis of Adverse Events in the Presence of Discontinuations, Drug Information Journal, 10.1177/009286150604000110, 40, 1, (79-87), (2016).
  • The partly Aalen's model for recurrent event data with a dependent terminal event, Statistics in Medicine, 10.1002/sim.6625, 35, 2, (268-281), (2015).
  • Weighted Estimation of the Accelerated Failure Time Model in the Presence of Dependent Censoring, PLOS ONE, 10.1371/journal.pone.0124381, 10, 4, (e0124381), (2015).
  • Two‐stage estimation for multivariate recurrent event data with a dependent terminal event, Biometrical Journal, 10.1002/bimj.201400001, 57, 2, (215-233), (2014).
  • Semiparametric inference for the recurrent events process by means of a single-index model, Statistics, 10.1080/02331888.2014.929134, 49, 2, (361-385), (2014).
  • Treatment selections using risk-benefit profiles based on data from comparative randomized clinical trials with multiple endpoints, Biostatistics, 10.1093/biostatistics/kxu037, 16, 1, (60-72), (2014).
  • Semiparametric transformation models for semicompeting survival data, Biometrics, 10.1111/biom.12178, 70, 3, (599-607), (2014).
  • A joint frailty model to estimate the recurrence process and the disease‐specific mortality process without needing the cause of death, Statistics in Medicine, 10.1002/sim.6140, 33, 18, (3147-3166), (2014).
  • Optimization of individualized dynamic treatment regimes for recurrent diseases, Statistics in Medicine, 10.1002/sim.6104, 33, 14, (2363-2378), (2014).
  • Statistical inference methods for recurrent event processes with shape and size parameters, Biometrika, 10.1093/biomet/asu016, 101, 3, (553-566), (2014).
  • Study on the Asymptotic Properties of a Composite Model in Statistical Analysis of Recurrent Event, Applied Mechanics and Materials, 10.4028/www.scientific.net/AMM.631-632.90, 631-632, (90-93), (2014).
  • Estimation Methods of a Joint Model Based on Proportional Intensity Function and Proportional Hazard Function, Applied Mechanics and Materials, 10.4028/www.scientific.net/AMM.631-632.27, 631-632, (27-30), (2014).
  • A Composite Model via Proportional Intensity Function and Additive Hazard Function, Applied Mechanics and Materials, 10.4028/www.scientific.net/AMM.631-632.3, 631-632, (3-6), (2014).
  • Regression Analysis of Panel Count Data II, Statistical Analysis of Panel Count Data, 10.1007/978-1-4614-8715-9_6, (121-153), (2013).
  • A proportional hazards regression model with change-points in the baseline function, Lifetime Data Analysis, 10.1007/s10985-012-9231-7, 19, 1, (59-78), (2012).
  • Regression Analysis for Recurrent Events Data under Dependent Censoring, Biometrics, 10.1111/j.1541-0420.2010.01497.x, 67, 3, (719-729), (2010).
  • Semiparametric Transformation Models with Time‐Varying Coefficients for Recurrent and Terminal Events, Biometrics, 10.1111/j.1541-0420.2010.01458.x, 67, 2, (404-414), (2010).
  • Predictors of Nursing Home Residents' Time to Hospitalization, Health Services Research, 10.1111/j.1475-6773.2010.01170.x, 46, 1p1, (82-104), (2010).
  • Analysis of recurrent events with non-negligible event duration, with application to assessing hospital utilization, Lifetime Data Analysis, 10.1007/s10985-010-9183-8, 17, 2, (215-233), (2010).
  • Additive–multiplicative rates model for recurrent events, Lifetime Data Analysis, 10.1007/s10985-010-9160-2, 16, 3, (353-373), (2010).
  • A semiparametric additive rate model for recurrent events with an informative terminal event, Biometrika, 10.1093/biomet/asq039, 97, 3, (699-712), (2010).
  • Semiparametric analysis of recurrent events: artificial censoring, truncation, pairwise estimation and inference, Lifetime Data Analysis, 10.1007/s10985-009-9150-4, 16, 4, (509-524), (2010).
  • Identifiability conditions for covariate effects model on survival times under informative censoring, Statistics & Probability Letters, 10.1016/j.spl.2010.01.027, 80, 11-12, (911-915), (2010).
  • Joint covariate-adjusted score test statistics for recurrent events and a terminal event, Lifetime Data Analysis, 10.1007/s10985-009-9140-6, 16, 4, (491-508), (2009).
  • Semiparametric Analysis for Recurrent Event Data with Time‐Dependent Covariates and Informative Censoring, Biometrics, 10.1111/j.1541-0420.2009.01266.x, 66, 1, (39-49), (2009).
  • Cardiac Resynchronization Therapy for Heart Failure, Circulation, 10.1161/CIRCULATIONAHA.108.834390, 119, 7, (916-918), (2009).
  • Non‐parametric Tests for Recurrent Events under Competing Risks, Scandinavian Journal of Statistics, 10.1111/j.1467-9469.2009.00642.x, 36, 4, (649-670), (2009).
  • Marginal Regression Analysis for Semi‐Competing Risks Data Under Dependent Censoring, Scandinavian Journal of Statistics, 10.1111/j.1467-9469.2008.00635.x, 36, 3, (481-500), (2009).
  • A comparison of various rate functions of a recurrent event process in the presence of a terminal event, Statistical Methods in Medical Research, 10.1177/0962280208090220, 19, 2, (167-182), (2008).
  • Flexible Estimation of Differences in Treatment‐Specific Recurrent Event Means in the Presence of a Terminating Event, Biometrics, 10.1111/j.1541-0420.2008.01157.x, 65, 3, (753-761), (2008).
  • Regression splines in the time‐dependent coefficient rates model for recurrent event data, Statistics in Medicine, 10.1002/sim.3400, 27, 28, (5890-5906), (2008).
  • Multiple Events Time Data: A Bayesian Recourse, Bayesian Thinking - Modeling and Computation, 10.1016/S0169-7161(05)25031-9, (891-906), (2005).
  • Analysis of Times to Repeated Events in Two‐Arm Randomized Trials with Noncompliance and Dependent Censoring, Biometrics, 10.1111/j.0006-341X.2004.00252.x, 60, 4, (965-976), (2004).
  • Joint Modeling and Estimation for Recurrent Event Processes and Failure Time Data, Journal of the American Statistical Association, 10.1198/016214504000001033, 99, 468, (1153-1165), (2004).

The full text of this article hosted at iucr.org is unavailable due to technical difficulties.