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Confidence intervals for median survival time with recurrent event data

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  • Gonzalez, Juan R.
  • Peña, Edsel A.
  • Delicado, Pedro

Abstract

Several methods of constructing confidence intervals for the median survival time of a recurrent event data are developed. One of them is based on asymptotic variances estimated using some transformations. Others are based on bootstrap techniques. Two types of recurrent event models are considered: the first one is a model where the inter-event times are independent and identically distributed, and the second one is a model where the inter-event times are associated, with the association arising from a gamma frailty model. Bootstrap and asymptotic confidence intervals are studied through simulation. These methods are applied and compared using two real data sets arising in the biomedical and public health settings, using an available R package. The first example belongs to data from a study concerning small bowel motility where an independent model may be assumed. The second example involves hospital readmissions in patients diagnosed with colorectal cancer. In this example the interoccurrence times are correlated.

Suggested Citation

  • Gonzalez, Juan R. & Peña, Edsel A. & Delicado, Pedro, 2010. "Confidence intervals for median survival time with recurrent event data," Computational Statistics & Data Analysis, Elsevier, vol. 54(1), pages 78-89, January.
    • Handle: RePEc:eee:csdana:v:54:y:2010:i:1:p:78-89
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    References listed on IDEAS

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    1. Chiung-Yu Huang & Mei-Cheng Wang, 2004. "Joint Modeling and Estimation for Recurrent Event Processes and Failure Time Data," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 1153-1165, December.
    2. Pena E.A. & Strawderman R.L. & Hollander M., 2001. "Nonparametric Estimation With Recurrent Event Data," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 1299-1315, December.
    3. Frobish, Daniel & Ebrahimi, Nader, 2009. "Parametric estimation of change-points for actual event data in recurrent events models," Computational Statistics & Data Analysis, Elsevier, vol. 53(3), pages 671-682, January.
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    Cited by:

    1. de Peretti, Christian & Siani, Carole, 2010. "Graphical methods for investigating the finite-sample properties of confidence regions," Computational Statistics & Data Analysis, Elsevier, vol. 54(2), pages 262-271, February.

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