Biomedical Engineering Reference
In-Depth Information
Li 95 gave a detailed review of the proportional odds regression model.
It is commonly seen in survival analysis that estimated survival curves
level o at a nonzero value after a certain time, even when many individ-
uals are followed beyond that time. This type of data has heavy censoring
at the end of the follow-up period. One can regard the population as con-
sisting of two groups: individuals who are not susceptible to an event of
interest, and individuals who are susceptible to the event if they are fol-
lowed long enough. A number of parametric and semiparametric cure (or
mixture) models for this type of heavily censored data have been proposed
by Farewell 51 , Yamaguchi 156 , Kuk and Chen 86 , Taylor 139 , Chen, Ibrahim,
and Sinha 30 , Sy and Taylor 134 , Peng and Dear 111 , and Li and Taylor 93;94 .
See [98] for a detailed introduction to cure models. Li, Taylor, and Sy 92
systematically studied the identiability of cure models. Finally, see [104]
for a detailed review of statistical methodologies used in survival analysis
that were not discussed in this chapter.
Acknowledgments
This work was partially supported by Cancer Center Support Grant
CA21765 from the National Institutes of Health and by the American
Lebanese Syrian Associated Charities (ALSAC).
References
1. O.O. Aalen, Nonparametric inference for a family of counting processes,
Ann. Statist., 6 (1978), 701-726.
2. O.O. Aalen and H.K. Gjessing, Understanding the shape of the hazard rate:
a process point of view, Statist. sci., 16 (2001), 1-22.
3. J. Abadie and J. Carpentier, Generalization of the Wolf reduced gradient
method to the case of nonlinear constratins, In: Optimization, (R. Fletcher
Ed.), pp.37-47, Academic Press, New York, 1969.
4. M. Abrahamowicz, A. Ciampi, and J.O. Ramsay, Nonparametric desity
estimation for censored survival data: regression-spline approach, Can. J.
Statist., 20 (1992), 171-185.
5. H. Akaiki, 2nd International Symposium on Information Theory, (B.N.
Petrov and F. Csaki, Ed.), Budapest, Akademiai Kiado, 1973.
6. D.G. Altman and B.L. De Stavola, Practical problems in tting a propor-
tional hazards model to data with updated measurements of the covariates,
Statist. Med., 13 (1994), 301-341.
7. B. Altshuler, Theory for the measurement of competing risk in animal ex-
periments, Math. Biosci., 6 (1970), 1-11.
8. J.A. Anderson and A. Senthilselvan, Smooth estimates for the hazard func-
tion, J. R. Stat. Soc., B42 (1980), 322-327.
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