A test of fit for a semiparametric additive risk model

Biometrika

Volumn 84, Issue 3, 1997, Pages 631-639

  Yuen, K C ^a   Burke, M D ^b  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b UNIVERSITY OF CALGARY   (Canada)

Author keywords

Additive risk; Baseline hazard function; Bootstrap; Cumulative hazard; Empirical process; Gaussian process; Goodness of fit; Random censorship; Survival times

Indexed keywords

EID: 0001372733     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/84.3.631     Document Type: Article

References (14)

1. AALEN, O. O. (1980). A model for nonparametric regression analysis of counting processes. In Lecture Notes in Statistics, 2, Ed. N. Klonecki, A. Kosek and J. Rosiński, pp. 1-25. New York: Springer-Verlag.
2. BURKE, M. D. & YUEN, K. C. (1995). Goodness-of-fit tests for the Cox model via bootstrap method. J. Statist. Plan. Inf. 47, 237-56.
3. COX, D. R. (1972). Regression models and life-tables (with Discussion). J. R. Statist. Soc. B 34, 187-220.
4. CSÖRGÖ, M., CSÖRGÖ, S. & HORVÁTH, L. (1986). An Asymptotic Theory for Empirical Reliability and Concentration Processes, Lecture Notes in Statistics, 33. New York: Springer-Verlag.
5. FLEMING, T. R. & HARRINGTON, D. P. (1991). Counting Processes and Survival Analysis. New York: Wiley.
6. GAENSSLER, P. (1987). Bootstrapping empirical measures indexed by Vapnik-Chervonenkis classes of sets. In Probability Theory and Mathematical Statistics, 1, Ed. Yu. V. Prohorov, V. A. Statulevicius, V. V. Sazonov and B. Grigelionis, pp. 467-81. Utrecht: VNU Science.
7. HUFPER, F. W. & MCKEAGUE, I. W. (1991). Weighted least squares estimation for Aalen's additive risk model. J. Am. Statist. Assoc. 86, 114-29.
8. LIN, D. Y. & YING, Z. (1994). Semiparametric analysis of the additive risk model. Biometrika 81, 61-71.
9. MCKEAGUE, I. W. & SASIENI, D. D. (1994). A partly parametric additive risk model. Biometrika 81, 501-14.
10. MCKEAGUE, I. W. & UTIKAL, K. J. (1991). Goodness-of-fit tests for additive hazards and proportional hazards models. Scand. J. Statist. 18, 177-95.
11. MOORE, D. S. & SPRUILL, M. C. (1975). Unified large-sample theory of general chi-squared statistics for tests. Ann. Statist. 3, 599-616.
12. SASIENI, P. D. (1992). Information bounds for the additive and multiplicative intensity models. In Survival Analysis: State of the Art, Ed. J. P. Klein and P. K. Goel, pp. 249-65. Dordrecht, Boston, London: Kluwer Academic.
13. WICHURA, M. (1973). Some Strassen-type laws of the integrated logarithm for multi-parameter stochastic processes with independent increments. Ann. Prob. 1, 272-96.
14. YANDELL, B. S. & HORVÁTH, L. (1988). Bootstrapped multi-dimensional product limit process. Aust. J. Statist 30, 342-58.