Polyhazard models for lifetime data

Biometrics

Volumn 55, Issue 4, 1999, Pages 1281-1285

  Louzada Neto, Francisco ^a  

^a FEDERAL UNIVERSITY OF SÃO CARLOS   (Brazil)

Author keywords

Bathtub and multimodal hazard curves; Hazard models; Latent competing risk; Maximum likelihood estimation; Parametric simulation; Weibull model

Indexed keywords

HAZARDS; PARAMETER ESTIMATION; RISK PERCEPTION; STATISTICAL TESTS;

BATHTUB AND MULTIMODAL HAZARD CURVE; COMPETING RISKS; HAZARD CURVES; HAZARD MODELING; LATENT COMPETING RISK; LIFETIME DATA; MAXIMUM-LIKELIHOOD ESTIMATION; MULTI-MODAL; PARAMETRIC SIMULATIONS; WEIBULL MODELS;

MAXIMUM LIKELIHOOD ESTIMATION;

ARTICLE; DATA ANALYSIS; HAZARD; MATHEMATICAL ANALYSIS; MAXIMUM LIKELIHOOD METHOD; SIMULATION; STATISTICAL ANALYSIS; STATISTICAL MODEL;

EID: 0032739326     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0006-341X.1999.01281.x     Document Type: Article

References (23)

1. Berger, J. O. and Sun, D. (1993). Bayesian analysis for the poly-Weibull distribution. Journal of the American Statistical Association 88, 1412-1417.
2. Berger, J. O. and Sun, D. (1996). Bayesian inference for a class of poly-Weibull distributions. In Bayesian Analysis in Statistics and Econometrics - Essays in Honor of Arnold Zellner, D. A. Berry, K. M. Chaloner, and J. K. Geweke (eds), 101-113. New York: Wiley.
3. Cheng, C. H. and Traylor, L. (1995). Non-regular maximum likelihood problems (with discussion). Journal of the Royal Statistical Society, Series B 57, 3-44.
4. Cox, D. R. (1959). The analysis of exponentially distributed lifetimes with two types of failures. Journal of the Royal Statistical Society, Series B 21, 411-421.
5. Cox, D. R. (1972). Regression models and life tables (with discussion). Journal of the Royal Statistical Society, Series B 34, 187-220.
6. David, H. and Moeschberger, M. L. (1978). The theory of competing risks. Griffin's Statistical Monographs and Courses, 39. London: Charles W. Griffin.
7. Davies, R. B. (1977). Hypothesis testing when a nuisance parameter is present only under the alternative. Biometrika 64, 247-254.
8. Davison, A. C. and Hinkley, D. V. (1997). Bootstrap Methods and Their Application. Cambridge: Cambridge University Press.
9. Ebrahimi, N. (1996). The effect of misclassification of the actual cause of death in competing risks analysis. Statistics in Medicine 15, 1557-1566.
10. Efron, B. (1981). Censored data and the bootstrap. Journal of the American Statistical Association 76, 312-319.
11. Elandt-Johnson, R. C. and Johnson, N. L. (1980). Survival Models and Data Analysis. New York: Wiley.
12. Etezadi-Amoli, J. and Ciampi, A. (1987). Extended hazard regression for censored survival data with covariates: A spline approximation for the baseline hazard function. Biometrics 43, 181-192.
13. Everitt, B. S. and Hand, D. J. (1981). Finite Mixture Distributions. London: Chapman and Hall.
14. Jiang, R. and Murthy, D. N. P. (1995). Modeling failure-data by mixtures of two Weibull distributions: A graphical approach. IEEE Transactions on Reliability 44, 477-488.
15. Kalbfleisch, J. D. and Prentice, R. L. (1980). The Statistical Analysis of Failure Time Data. New York: Wiley.
16. Lagakos, S. W. and Louis, T. A. (1988). Use of tumour lethality to interpret tumorigenicity experiments lacking cause-of-death data. Applied Statistics 37, 169-179.
17. Lawless, J. F. (1982). Statistical Models and Methods for Lifetime Data. New York: Wiley.
18. Mudholkar, G. S., Srivastava, D. K., and Kollia, G. D. (1996). A generalization of the Weibull distribution with application to the analysis of survival data. Journal of the American Statistical Association 91, 1575-1583.
19. Prentice, R. L. (1978). Linear rank tests with right censored data. Biometrika 65, 167-179.
20. Rajarshi, S. and Rajarshi, M. B. (1988). Bathtub distributions: A review. Communication in Statistics-Theory Methods 17, 2597-2621.
21. Ross, G. J. S. (1990). Nonlinear Estimation. New York: Springer-Verlag.
22. Seber, G. A. F. and Wild, C. J. (1989). Nonlinear Regression. New York: Wiley.
23. Titterington, D. M., Smith, A. F. M., and Makov, U. D. (1985). Statistical Analysis of Finite Mixture Distributions. New York: Wiley.