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On the regression analysis of multivariate failure time data
Abstract
The paper is concerned with the analysis of regression effects when individual study subjects may experience multiple failures. The proposed methods are most likely to be useful when there are a fairly large number of study subjects. Two general classes of regression models are considered in order to relate the hazard or intensity function to covariates and to preceding failure time history. Both models are of a stratified proportional hazards type. One model includes baseline intensity functions that are arbitrary as a function of time from the beginning of study, while the other includes baseline intensity functions that are arbitrary as a function of time from the study subject's immediately preceding failure. Partial likelihood functions are derived for the regression coefficients. Generalizations and illustrations are given.
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Cited by
Regression analysis of multivariate incomplete failure time data by modeling marginal distributions
Wei, L. J., Lin, D. Y., & Weissfeld, L. (1989) · Journal of the American Statistical Association · doi:10.1080/01621459.1989.10478873 · Cited by 1,868
Williamson, J. D., Supiano, M. A., Applegate, W. B., Berlowitz, D. R., Campbell, R. C., Chertow, G. M., Fine, L. J., Haley, W. E., Hawfield, A. T., Ix, J. H., et al. (2016) · JAMA · doi:10.1001/jama.2016.7050 · Cited by 1,261
Rotavirus Infection in Infants as Protection against Subsequent Infections
Velázquez, F. R., Matson, D. O., Calva, J. J., Guerrero, M. L., Morrow, A. L., Carter-Campbell, S., Glass, R. I., Estes, M. K., Pickering, L. K., & Ruiz-Palacios, G. M. (1996) · New England Journal of Medicine · doi:10.1056/nejm199610033351404 · Cited by 836
Aral, S., & Walker, D. (2011) · Management Science · doi:10.1287/mnsc.1110.1421 · Cited by 786
Zannad, F., Cannon, C. P., Cushman, W. C., Bakris, G. L., Menon, V., Perez, A. T., Fleck, P. R., Mehta, C. R., Kupfer, S., Wilson, C., et al. (2015) · The Lancet · doi:10.1016/s0140-6736(14)62225-x · Cited by 757
Metadata
- Authors
- PRENTICE, R. L., WILLIAMS, B. J., & PETERSON, A. V.
- Venue
- Biometrika
- Publisher
- Oxford University Press (OUP)
- Published
- 1981
- Volume
- 68
- Issue
- 2
- Pages
- 373-379
- ISSN
- 0006-3444 (ISSN-L)
- 1464-3510
- OpenAlex
- W2145159920
- Cited by
- 1,333
- References
- 0
- FWCI
- 4.77
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: On the regression analysis of multivariate failure time data. https://app.cochat.ai/papers/10.1093/biomet/68.2.373
- The paper
- PRENTICE, R. L., WILLIAMS, B. J., & PETERSON, A. V. (1981). On the regression analysis of multivariate failure time data. Biometrika. https://doi.org/10.1093/biomet/68.2.373
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
