Checking a semiparametric additive risk model

Lifetime Data Analysis

Volumn 11, Issue 4, 2005, Pages 451-472

  Gandy, Axel ^a,b   Jensen, Uwe ^a  

^a UNIVERSITY OF HOHENHEIM   (Germany)

^b UNIVERSITY OF ULM   (Germany)

Author keywords

Aalen model; Cox regression; Goodness of fit; Martingale residuals; Semiparametric; Survival analysis

Indexed keywords

ARTICLE; COMPUTER SIMULATION; GERMANY; HUMAN; PROPORTIONAL HAZARDS MODEL; RISK; STATISTICAL MODEL; SURVIVAL; UNITED STATES;

COMPUTER SIMULATION; GERMANY; HUMANS; MODELS, STATISTICAL; PROPORTIONAL HAZARDS MODELS; RISK; SURVIVAL ANALYSIS; UNITED STATES;

EID: 27844599149     PISSN: 13807870     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10985-005-5234-y     Document Type: Article

References (15)

1. O. O. Aalen, "A model for nonparamctric regression analysis of counting processes", in Mathematical Statistics and Probability Theory. Lecture Notes in Statistics, (W. Klonecki, A. Kozek and J. Rosinski, eds.) Springer: New York, vol. 2 pp. 1-25, 1980.
2. P. K., Andersen and R. D. Gill, "Cox's regression model for counting processes: a large sample study," Annals of Statistics vol. 10 pp. 1100-1120, 1982.
3. D. R. Cox, "Regression models and life-tables," Journal of Royal Statistical Society Series B vol. 34 pp. 187-220, 1972.
4. J. P. Fine, "Comparing nonnested Cox models," Biometrika vol. 89 pp. 635-647, 2002.
5. A. Gandy and U. Jensen, "On goodness of fit tests for Aalen's additive risk model," Scandinavian Journal of Statistics vol. 32 pp. 425-445, 2005.
6. B. Grund and J. Polzehl, "Semiparametric lack-of-fit tests in an additive hazards regression model," Statistics and Computing vol. 11 pp. 323-335, 2001.
7. M. Ledoux and M. Talagrand, Probability in Banach Spaces. Springer, 1991.
8. D. Y. Lin and L. J. Wei, "The robust inference for the Cox proportional hazards model," Journal of American Statistical Association vol. 84 pp. 1074-1078, 1989.
9. I. W. McKeague and P. D. Sasieni, "A partly parametric additive risk model," Biometrika vol. 81 pp. 501-514, 1994.
10. I. W. McKeague and K. J. Utikal, "Goodness-of-fit tests for additive hazards and proportional hazards models," Scandinavian Journal of Statistics vol. 18 pp. 177-195, 1991.
11. R. Miller and J. Halpern, "Regression with censored data," Biometrika vol. 69 pp. 521-531, 1982.
12. R.L. Prentice and S.G. Self, "Asymptotic distribution theory for Cox-type regression models with general relative risk form," Annals of Statistics vol. 11 pp. 804-813, 1983.
13. R.R. Rao, "A law of large numbers for D[0,1]-valued random variables," Theory of Probability and its Applications vol. 8 pp. 70-74, 1963.
14. P. Sasieni, "Some new estimators for Cox regression," Annals of Statistics vol. 21 pp. 1721-1759, 1993.
15. T.H. Scheike, "The additive nonparametric and semiparametric Aalen model as the rate function for a counting process," Lifetime Data Analysis vol. 8 pp. 247-262, 2002.