Asymptotic efficiency of a proportional hazards model with cure

Statistics and Probability Letters

Volumn 39, Issue 3, 1998, Pages 237-244

  Tsodikov, Alexander ^a  

^a UNIVERSITY OF UTAH   (United States)

Author keywords

Asymptotic efficiency; Cure models; Proportional hazards

Indexed keywords

EID: 0032528711     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(98)00056-x     Document Type: Article

References (18)

1. Aalen, O.O., 1992. Modelling heterogeneity in survival analysis by the compound Poisson distribution. Ann. Appl. Probab. 2, 951-972.
2. Breslow, N.E., 1975. Analysis of survival data under the proportional hazards model. Int. Stat. Rev. 43, 45-58.
3. Cox, D.R., 1972. Regression models with life tables (with discussion). J. Roy. Statist. Soc. B 34, 187-202.
4. Efron, B., 1977. The efficiency of Cox's likelihood function for censored data. J. Am. Statist. Assoc. 72, 555-565.
5. Farewell, V.T., 1982. The use of mixture models for the analysis of survival data with long-term survivors. Biometrics 38, 1041-1046.
6. Gray, R.J., Tsiatis, A.A., 1989. A linear rank test for use when the main interest is in differences in cure rates. Biometrics 45, 899-904.
7. Hougaard, P., 1986, Survival models for heterogeneous populations derived from stable distributions. Biometrika 71, 75-83.
8. Hougaard, P., 1996. Frailty models for survival data. Lifetime Data Anal. 1, 255-274.
9. Kalbfleisch, J., Prentice, R., 1980. The Statistical Analysis of Failure Time Data. Wiley, New York.
10. Laska, E.M., Meisner, M.J., 1992. Nonparametric estimation and testing in a cure model. Biometrics 48, 1223-1234.
11. Li, Y.H., Klein, J.P., Moeschberger, M.L., 1996. Effects of model misspecification in estimating covariate effects in survival analysis for small sample sizes. Comput. Statist. Data Anal. 22, 177-192.
12. Rabinowitz, D., Ryan, L., 1993. Lower confidence bounds for time to cure. Biometrika 80, 681-687.
13. Tsiatis, A., 1981. A large sample study of Cox's regression model. Ann. Statist. 9, 93-108.
14. Tsodikov, A., 1998. A proportional hazards model taking account of long-term survivors. Biometrics 54, 138-146.
15. Tsodikov, A., Loeffler, M., Yakovlev, A.Yu., 1998. A cure model with time-changing risk factor: an application to the analysis of secondary leukaemia. A report from the International Database on Hodgkin's Disease. Statist. Med. 17, 27-40.
16. Yakovlev, A., 1994. Parametric versus non-parametric methods for estimating cure rates based on censored survival data. Statist. Medicine 13, 983-986.
17. Yakovlev, A., Tsodikov, A., 1996. Stochastic Models of Tumor Latency and Their Biostatistical Applications. World Scientific, Singapore.
18. Yamaguchi, K., 1992. Accelerated failure-time regression models with a regression model of surviving fraction: an application to the analysis of "permanent employment" in Japan. J. Am. Statist. Assoc. 87, 284-292.