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Nonparametric estimation of the gap time distribution for serial events with censored data
Abstract
In many follow-up studies, each subject can potentially experience a series of events, which may be repetitions of essentially the same event or may be events of entirely different natures. This paper provides a simple nonparametric estimator for the multivariate distribution function of the gap times between successive events when the follow-up time is subject to right censoring. The estimator is consistent and, upon proper normalisation, converges weakly to a zero-mean Gaussian process with an easily estimated covariance function. Numerical studies demonstrate that both the distribution function estimator and its covariance function estimator perform well for practical sample sizes. An application to a colon cancer study is presented. Keywords:Bivariate distribution; Correlated failure times; Dependent censoring; Kaplan-Meier estimator; Multiple events; Multivariate failure time; Recurrent events.
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Cited by
Bashey, A., Zhang, X., Sizemore, C. A., Manion, K., Brown, S., Holland, H. K., Morris, L. E., & Solomon, S. R. (2013) · Journal of Clinical Oncology · doi:10.1200/jco.2012.44.3523 · Cited by 499
Choueiri, T. K., Motzer, R. J., Rini, B. I., Haanen, J., Campbell, M. T., Venugopal, B., Kollmannsberger, C., Gravis-Mescam, G., Uemura, M., Lee, J. L., et al. (2020) · Annals of Oncology · doi:10.1016/j.annonc.2020.04.010 · Cited by 455
Risk factors for repeated cerebrospinal shunt failures in pediatric patients with hydrocephalus
Tuli, S., Drake, J., Lawless, J., Wigg, M., & Lamberti-Pasculli, M. (2000) · Journal of Neurosurgery · doi:10.3171/jns.2000.92.1.0031 · Cited by 344
Model Selection and Semiparametric Inference for Bivariate Failure-Time Data
Wang, W., & Wells, M. T. (2000) · Journal of the American Statistical Association · doi:10.1080/01621459.2000.10473899 · Cited by 255
Evidence for clinical progression of unipolar and bipolar disorders
Kessing, L. V., & Andersen, P. K. (2017) · Acta Psychiatrica Scandinavica · doi:10.1111/acps.12667 · Cited by 179
Metadata
- Authors
- Lin, D.
- Venue
- Biometrika
- Publisher
- Oxford University Press (OUP)
- Published
- 1999-03-01
- Volume
- 86
- Issue
- 1
- Pages
- 59-70
- ISSN
- 0006-3444 (ISSN-L)
- 1464-3510
- OpenAlex
- W1965295226
- Cited by
- 201
- References
- 0
- FWCI
- 5.71
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lin, D. (1999). Nonparametric estimation of the gap time distribution for serial events with censored data. Biometrika. https://doi.org/10.1093/biomet/86.1.59
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
