Semiparametric maximum likelihood estimation in normal transformation models for bivariate survival data

Biometrika

Volumn 95, Issue 4, 2008, Pages 947-960

  Li, Yi ^a   Prentice, Ross L ^b   Lin, Xihong ^c  

^a HARVARD UNIVERSITY   (United States)

^b Fred Hutchinson Cancer Research Center   (United States)

^c HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

Asymptotic normality; Bivariate failure time; Consistency; Semiparametric efficiency; Semiparametric maximum likelihood estimate; Semiparametric normal transformation

Indexed keywords

EID: 57249098826     PISSN: 00063444     EISSN: 14643510     Source Type: Journal    
DOI: 10.1093/biomet/asn049     Document Type: Article

References (19)

1. CLAYTON, D. (1978). A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence. Biometrika, 65, 141-51.
2. DABROWSKA, D. (1988). Kaplan-Meier estimate on the plane. Ann. Statist. 16, 1475-89.
3. HOUGAARD, P. (2000). Analysis of Multivariate Survival Data. New York: Springer.
4. KLAASSEN, C. A. J. & WELLNER, J. A. (1997). Efficient estimation in the bivariate normal copula model: Normal margins are least favourable. Bernoulli 3, 55-77.
5. LI, Y. & LIN, X. (2006). Semiparametric normal transformation models for spatially correlated survival data. J. Am. Statist. Assoc. 101, 591-603.
6. LIN, D. & YING, Z. (1993). A simple nonparametric estimator of the bivariate survival function under univariate censoring. Biometrika 80, 573-81.
7. MOODIE, F. Z. & PRENTICE, R. L. (2005). An adjustment to improve the bivariate survivor function repaired NPMLE. Lifetime Data Anal. 11, 291-307.
8. MURPHY, S. A. (1994). Consistency in a proportional hazards model incorporating a random effect. Ann. Statist. 22, 712-31.
9. NAN, B., LIN, X., LISABETH, L. D. & HARLOW, S. D. (2006). Piecewise constant cross-ratio estimation for association of age at a marker event and age at menopause. J. Am. Statist. Assoc. 101, 65-77.
10. OAKES, D. (1989). Bivariate survival models induced by frailties. J. Am. Statist. Assoc. 84, 487-93.
11. PARNER, E. (1998). Asymptotic theory for the correlated gamma-frailty model. Ann. Statist. 26, 183-214.
12. PITT, M., CHAN, D. & KOHN, R. (2006). Efficient Bayesian inference for Gaussian copula regression models. Biometrika 93, 537-54.
13. PRENTICE, R. L. & CAI, J. (1992). Covariance and survivor function estimation using censored multivariate failure time data. Biometrika 79, 495-512. Correction (1993) 80, 711-2.
14. PRENTICE, R, L., MOODIE, Z. F. & WU, J. (2004). Hazard-based nonparametric survivor function estimation. J. R. Statist. Soc. B 66, 305-19.
15. TSAI, W. & CROWLEY, J. (1998). A note on nonparametric estimators of the bivariate survival function under univariate censoring. Biometrika 85, 573-80.
16. VAN DER LAAN, M. (1996). Efficient estimation in the bivariate censoring model and repairing NPMLE. Ann. Statist. 24, 596-627.
17. VAN KEILEGOM, I. & HETTMANSPERGER, T.P. (2002) Inference on multivariate M-estimators based on bivariate censored data. J. Am. Statist. Assoc. 97, 328-36.
18. WANG, W. & WELLS, M. (1998). Nonparametric estimators of the bivariate survival function under simplified censoring conditions. Biometrika 84, 863-80.
19. WIENKE, A., LICHTENSTEIN, P. & YASHIN, A. (2003). A bivariate frailty model with a cure fraction for modeling familial correlations in diseases. Biometrics 59, 1178-83.