The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
Shared Frailty Models for Recurrent Events and a Terminal Event
Open accessAbstract
Summary There has been an increasing interest in the analysis of recurrent event data (Cook and Lawless, 2002,Statistical Methods in Medical Research11,141–166). In many situations, a terminating event such as death can happen during the follow‐up period to preclude further occurrence of the recurrent events. Furthermore, the death time may be dependent on the recurrent event history. In this article we consider frailty proportional hazards models for the recurrent and terminal event processes. The dependence is modeled by conditioning on a shared frailty that is included in both hazard functions. Covariate effects can be taken into account in the model as well. Maximum likelihood estimation and inference are carried out through a Monte Carlo EM algorithm with Metropolis–Hastings sampler in the E‐step. An analysis of hospitalization and death data for waitlisted dialysis patients is presented to illustrate the proposed methods. Methods to check the validity of the proposed model are also demonstrated. This model avoids the difficulties encountered in alternative approaches which attempt to specify a dependent joint distribution with marginal proportional hazards and yields an estimate of the degree of dependence.
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Cites
The Statistical Analysis of Failure Time Data.
Aitkin, M., Kalbfleisch, J. D., & Prentice, R. L. (1981) · Biometrics · doi:10.2307/2530581 · Cited by 9,877
The Statistical Analysis of Failure Time Data
Kalbfleisch, J. D., & Prentice, R. L. (2002) · Wiley Series in Probability and Statistics · doi:10.1002/9781118032985 · Cited by 3,219
Statistical Models Based on Counting Processes
Bry, X., Andersen, P. K., Borgan, Ø., Gill, R. D., Keiding, N., & Borgan, O. (1997) · Population (French Edition) · doi:10.2307/1534625 · Cited by 2,884
Statistical Models Based on Counting Processes
Andersen, P. K., Borgan, Ø., Gill, R. D., & Keiding, N. (1993) · Springer Series in Statistics · doi:10.1007/978-1-4612-4348-9 · Cited by 2,855
Finding the Observed Information Matrix When Using the EM Algorithm
Louis, T. A. (1982) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1982.tb01203.x · Cited by 2,229
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
Modeling the Drop-Out Mechanism in Repeated-Measures Studies
Little, R. J. A. (1995) · Journal of the American Statistical Association · doi:10.1080/01621459.1995.10476615 · Cited by 1,522
Semiparametric regression for the mean and rate functions of recurrent events
Lin, D. Y., Wei, L. J., Yang, I., & Ying, Z. (2000) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/1467-9868.00259 · Cited by 969
Bivariate Survival Models Induced by Frailties
Oakes, D. (1989) · Journal of the American Statistical Association · doi:10.1080/01621459.1989.10478795 · Cited by 844
Recovery of Information and Adjustment for Dependent Censoring Using Surrogate Markers
Robins, J. M., & Rotnitzky, A. (1992) · AIDS Epidemiology · doi:10.1007/978-1-4757-1229-2_14 · Cited by 641
Cited by
Greenberg, B., Butler, J., Felker, G. M., Ponikowski, P., Voors, A. A., Desai, A. S., Barnard, D., Bouchard, A., Jaski, B., Lyon, A. R., et al. (2016) · The Lancet · doi:10.1016/s0140-6736(16)00082-9 · Cited by 525
Rondeau, V., Mathoulin-Pelissier, S., Jacqmin-Gadda, H., Brouste, V., & Soubeyran, P. (2006) · Biostatistics · doi:10.1093/biostatistics/kxl043 · Cited by 211
Alirocumab Reduces Total Nonfatal Cardiovascular and Fatal Events
Szarek, M., White, H. D., Schwartz, G. G., Alings, M., Bhatt, D. L., Bittner, V. A., Chiang, C.-E., Diaz, R., Edelberg, J. M., Goodman, S. G., et al. (2019) · Journal of the American College of Cardiology · doi:10.1016/j.jacc.2018.10.039 · Cited by 173
Metadata
- Authors
- Liu, L., Wolfe, R. A., & Huang, X.
- Venue
- Biometrics
- Publisher
- Oxford University Press (OUP)
- Published
- 2004-08-27
- Volume
- 60
- Issue
- 3
- Pages
- 747-756
- ISSN
- 0006-341X (ISSN-L)
- 1541-0420
- OpenAlex
- W1964313277
- Cited by
- 342
- References
- 26
- FWCI
- 5.25
- Type
- journal article
- Language
- en
- Open access
- bronze
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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.