Evaluating Utility Measurement From Recurrent Marker Processes in the Presence of Competing Terminal Events

References

• Bang, H. , and Tsiatis, A. A. (2000), “Estimating Medical Costs With Censored Data,” Biometrika , 87, 329–343.
   Web of Science ®Google Scholar
• Cook, R. J. , and Lawless, J. F. (1997), “Marginal Analysis of Recurrent Events and a Terminating Event,” Statistics in Medicine , 16, 911–924.
   PubMed Web of Science ®Google Scholar
• Efron, B. (1987), “Better Bootstrap Confidence Intervals,” Journal of the American statistical Association , 82, 171–185.
   Web of Science ®Google Scholar
• Fine, J. P. , and Gray, R. J. (1999), “A Proportional Hazards Model for the Subdistribution of a Competing Risk,” Journal of the American Statistical Association , 94, 496–509.
   Web of Science ®Google Scholar
• Ghosh, D. , and Lin, D. Y. (2000), “Nonparametric Analysis of Recurrent Events and Death,” Biometrics , 56, 554–562.
   PubMed Web of Science ®Google Scholar
• Glasziou, P. P. , Simes, R. J. , and Gelber, R. D. (1990), “Quality Adjusted Survival Analysis,” Statistics in Medicine , 9, 1259–1276.
   PubMed Web of Science ®Google Scholar
• Gray, R. J. (1988), “A Class of K-Sample Tests for Comparing the Cumulative Incidence of a Competing Risk,” Annals of Statistics , 16, 1141–1154.
   Web of Science ®Google Scholar
• Hansen, L. P. (1982), “Large Sample Properties of Generalized Method of Moments Estimators,” Econometrica: Journal of the Econometric Society , 50, 1029–1054.
   Web of Science ®Google Scholar
• ——— (2001), “Generalized Method of Moments Estimation: A Time Series Perspective,” International Encyclopedia of Social and Behavioral Sciences , 9743–9751.
   Google Scholar
• Huang, C.-Y. , and Wang, M.-C. (2004), “Joint Modeling and Estimation for Recurrent Event Processes and Failure Time Data,” Journal of the American Statistical Association , 99, 1153–1165.
   PubMed Web of Science ®Google Scholar
• Huang, Y. (2002), “Calibration Regression of Censored Lifetime Medical Cost,” Journal of the American Statistical Association , 97, 318–327.
   Web of Science ®Google Scholar
• Huang, Y. , and Louis, T. A. (1998), “Nonparametric Estimation of the Joint Distribution of Survival Time and Mark Variables,” Biometrika , 85, 785–798.
   Web of Science ®Google Scholar
• Kalbfleisch, J. D. , and Prentice, R. L. (2002), The Statistical Analysis of Failure Time Data (2nd ed.), New York: Wiley.
   Google Scholar
• Lin, D. , Feuer, E. J. , Etzioni, R. , and Wax, Y. (1997), “Estimating Medical Costs from Incomplete Follow-up Data,” Biometrics , 419–434.
   PubMed Web of Science ®Google Scholar
• Lin, D. Y. (2000a), “Linear Regression Analysis of Censored Medical Costs,” Biostatistics , 1, 35–47.
   PubMedGoogle Scholar
• ——— (2000b), “Proportional Means Regression for Censored Medical Costs,” Biometrics , 56, 775–778.
   PubMed Web of Science ®Google Scholar
• Liu, L. , Wolfe, R. A. , and Huang, X. (2004), “Shared Frailty Models for Recurrent Events and a Terminal Event,” Biometrics , 60, 747–756.
   PubMed Web of Science ®Google Scholar
• Müller, H.-G. (1991), “Smooth Optimum Kernel Estimators Near Endpoints,” Biometrika , 78, 521–530.
   Web of Science ®Google Scholar
• Nadaraya, E. A. (1964), “On Estimating Regression,” Theory of Probability & Its Applications , 9, 141–142.
   Google Scholar
• Patnaik, J. L. , Byers, T. , DiGuiseppi, C. , Dabelea, D. , and Denberg, T. D. (2011), “Cardiovascular Disease Competes With Breast Cancer as the Leading Cause of Death for Older Females Diagnosed With Breast Cancer: A Retrospective Cohort Study,” Breast Cancer Research , 13, R64.
   PubMed Web of Science ®Google Scholar
• Prentice, R. L. , Kalbfleisch, J. D. , Peterson Jr, A. V. , Flournoy, N. , Farewell, V. T. , and Breslow, N. E. (1978), “The Analysis of Failure Times in the Presence of Competing Risks,” Biometrics , 541–554.
   PubMed Web of Science ®Google Scholar
• Schaubel, D. E. , and Zhang, M. (2010), “Estimating Treatment Effects on the Marginal Recurrent Event Mean in the Presence of a Terminating Event,” Lifetime Data Analysis , 16, 451–477.
   PubMed Web of Science ®Google Scholar
• Sinha, D. , Maiti, T. , Ibrahim, J. G. , and Ouyang, B. (2008), “Current Methods for Recurrent Events Data With Dependent Termination: A Bayesian Perspective,” Journal of the American Statistical Association , 103, 866–878.
   PubMed Web of Science ®Google Scholar
• Strawderman, R. L. (2000), “Estimating the Mean of an Increasing Stochastic Process at a Censored Stopping Time,” Journal of the American Statistical Association , 95, 1192–1208.
   Web of Science ®Google Scholar
• Sun, Y. Q. , Gilbert, P. B. , and McKeague, I. W. (2009), “Proportional Hazards Models With Continuous Marks,” Annals of Statistics , 37, 394–426.
   PubMed Web of Science ®Google Scholar
• Wang, M.-C. , Qin, J. , and Chiang, C.-T. (2001), “Analyzing Recurrent Event Data With Informative Censoring,” Journal of the American Statistical Association , 96, 1057–1065.
   Web of Science ®Google Scholar
• Warren, J. L. , Klabunde, C. N. , Schrag, D. , Bach, P. B. , and Riley, G. F. (2002), “Overview of the SEER-Medicare Data: Content, Research Applications, and Generalizability to the United States Elderly Population,” Medical Care , 40, IV–3.
   Web of Science ®Google Scholar
• Watson, G. S. (1964), “Smooth Regression Analysis,” Sankhyā: The Indian Journal of Statistics , Series A, 359–372.
   Google Scholar
• Ye, Y. , Kalbfleisch, J. D. , and Schaubel, D. E. (2007), “Semiparametric Analysis of Correlated Recurrent and Terminal Events,” Biometrics , 63, 78–87.
   PubMed Web of Science ®Google Scholar
• Zeng, D. , and Lin, D. Y. (2009), “Semiparametric Transformation Models With Random Effects for Joint Analysis of Recurrent and Terminal Events,” Biometrics , 65, 746–752.
   PubMed Web of Science ®Google Scholar
• Zhao, H. , and Tian, L. (2001), “On Estimating Medical Cost and Incremental Cost-Effectiveness Ratios With Censored Data,” Biometrics , 57, 1002–1008.
   PubMed Web of Science ®Google Scholar