A penalized likelihood approach for a progressive three-state model with censored and truncated data: Application to AIDS

Biometrics

Volumn 55, Issue 3, 1999, Pages 887-890

  Joly, Pierre ^a   Commenges, Daniel ^a  

^a UNIVERSITÉ DE BORDEAUX   (France)

Author keywords

Intensity function; Interval censoring; Penalized likelihood; Splines, Three state semi Markov model; Truncation

Indexed keywords

DISTRIBUTION FUNCTIONS; MARKOV PROCESSES; MAXIMUM LIKELIHOOD ESTIMATION;

CENSORED AND TRUNCATED DATUM; INTENSITY FUNCTIONS; INTERVAL CENSORING; PENALIZED LIKELIHOOD; PENALIZED-LIKELIHOOD; SEMI MARKOV MODEL; SPLINE, THREE-STATE SEMI-MARKOV MODEL; SURVIVAL FUNCTION; THREE-STATE MODELS; TRUNCATION;

CONTINUOUS TIME SYSTEMS;

ACQUIRED IMMUNE DEFICIENCY SYNDROME; ARTICLE; COVARIANCE; DATA ANALYSIS; PROBABILITY; STATISTICAL ANALYSIS; STATISTICAL MODEL; SURVIVAL;

EID: 0032887315     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0006-341X.1999.00887.x     Document Type: Article

References (15)

1. Bacchetti, P. and Jewell, N. P. (1991). Nonparametric estimation of the incubation period of AIDS based on a prevalent cohort with unknown infection times. Biometrics 47, 947-960.
2. De Gruttola, V. and Lagakos, S. W. (1989). Analysis of doubly-censored survival data, with application to AIDS. Biometrics 45, 1-11.
3. Frydman, H. (1992). A non-parametric estimation procedure for a periodically observed three-state Markov process, with application to AIDS. Journal of the Royal Statistical Society, Series B 54, 853-866.
4. Frydman, H. (1995). Semi-parametric estimation in a three-state duration-dependent Markov model from interval-censored observations with application to AIDS. Biometrics 51, 502-511.
5. Hall, P. (1992). The Bootstrap and Edgeworth Expansion. New York: Springer-Verlag.
6. Joly, P., Commenges, D., and Letenneur, L. (1998). A penalized likelihood approach for arbitrarily censored and truncated data: Application to age-specific incidence of dementia. Biometrics 54, 185-194.
7. Kim, M. Y., De Gruttola, V., and Lagakos, S. W. (1993). Analyzing doubly-censored data with covariates, with application to AIDS. Biometrics 49, 13-22.
8. Kodell, R. L. and Nelson, C. J. (1980). An illness-death model for the study of the carcinogenic process using survival/sacrifice data. Biometrics 36, 267-277.
9. Lindsey, J. C. and Ryan, L. M. (1993). A three-state multiplicative model for rodent tumorigenicity experiments. Journal of the Royal Statistical Society, Series C 42, 283-300.
10. Marquardt, D. (1963). An algorithm for least-squares estimation of nonlinear parameters. SIAM Journal of Applied Mathematics 11, 431-441.
11. McKnight, B. and Crowley, J. (1984). Tests for differences in tumor incidence based on animal carcinogenesis experiments. Journal of the American Statistical Association 79, 639-648.
12. O'Sullivan, F. (1988). Fast computation of fully automated log-density and log-hazard estimators. SIAM Journal on Scientific and Statistical Computing 9, 363-379.
13. Portier, C. J. and Dinse, G. E. (1987). Semiparametric analysis of tumor incidence rates in survival/sacrifice experiments. Biometrics 43, 107-114.
14. Ramsay, J. O. (1988). Monotone regression splines in action. Statistical Science 3, 425-461.
15. Wang, Y. and Wahba, G. (1995). Bootstrap confidence intervals for smoothing splines and their comparison to Bayesian confidence intervals. Journal on Statistical Computing Simulation 51, 263-279.