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Multivariate Generalizations of the Proportional Hazards Model
Abstract
A new approach to analysis of bivariate survival data is presented. It involves development of model for bivariate life-tables...with a single association parameter which is unaffected by monotone transformation of marginal distributions. Methods for testing and estimating this parameter from right-censored sample pairs using only rank-order information are presented. The model is a generalization of proportional hazards model and includes a random effect representing heterogeneity of frailty or proneness to failure. A discussion on the analysis of litter-matched and matched-pair failure-time data is [included]. Some uses of methods in rank regression problems involving only one right-censored dependent variable are described and a test is proposed for proportional hazards against alternative error structures leading to converging hazards. Finally methods are compared and validated by Monte-Carlo simulations. Comments by several people and a discussion concerning paper are included (pp. 108-17). (EXCERPT)
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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
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
Metadata
- Authors
- Clayton, D., & Cuzick, J.
- Venue
- Journal of the Royal Statistical Society. Series A (General)
- Publisher
- JSTOR
- Published
- 1985
- Volume
- 148
- Issue
- 2
- Pages
- 82
- ISSN
- 0035-9238 (ISSN-L)
- OpenAlex
- W1545685020
- Cited by
- 625
- References
- 0
- FWCI
- 8.48
- Type
- journal article
- Language
- en
- Open access
- closed
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- Clayton, D., & Cuzick, J. (1985). Multivariate Generalizations of the Proportional Hazards Model. Journal of the Royal Statistical Society. Series A (General). https://doi.org/10.2307/2981943
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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.
