The log-generalized modified weibull regression model

Brazilian Journal of Probability and Statistics

Volumn 25, Issue 1, 2011, Pages 64-89

  Ortega, Edwin M M ^a   Cordeiro, Gauss M ^a   Carrasco, Jalmar M F ^a  

^a NONE

Author keywords

Censored data; Generalized modified weibull distribution; Log weibull regression; Residual analysis; Sensitivity analysis; Survival function

Indexed keywords

EID: 79961069877     PISSN: 01030752     EISSN: None     Source Type: Journal    
DOI: 10.1214/09-BJPS110     Document Type: Article

References (39)

1. Atkinson, A. C. (1985)., Plots, Transformations and Regression: An Introduction to Graphical Methods of Diagnostic Regression Analysis. Oxford Univ. Press.
2. Aarset, M. V. (1987). How to identify bathtub hazard rate., IEEE Transactions on Reliability 36 106-108.
3. Cancho, V. G., Bolfarine, H. and Achcar, J. A. (1999). A Bayesian analysis for the exponentiated-Weibull distribution., Journal of Applied Statistics 8 227-242.
4. Cancho, V. G., Ortega, E. M. M. and Bolfarine, H. (2009). The exponentiated-Weibull regression models with cure rate., Journal of Applied Probability and Statistics 4 125-156.
5. Carrasco, J. M. F., Ortega, E. M. M. and Cordeiro, M. G. (2008). A generalized modified Weibull distribution for lifetime modeling., Computational Statistics and Data Analysis 53 450-462.
6. Carrasco, J. M. F., Ortega, E. M. M. and Paula, G. A. (2008). Log-modified Weibull regression models with censored data: Sensitivity and residual analysis., Computational Statistics and Data Analysis 52 4021-4039.
7. Cook, R. D. (1977). Detection of influential observations in linear regression., Technometrics 19 15-18.
8. Cook, R. D. (1986). Assessment of local influence (with discussion)., Journal of the Royal Statistical Society B 48 133-169.
9. Cook, R. D., Peña, D. and Weisberg, S. (1988). The likelihood displacement: A unifying principle for influence., Communications in Statistics, Theory and Methods 17 623-640.
10. Davison, A. C. and Tsai, C. L. (1992). Regression model diagnostics., International Statistical Reviews 60 337-355.
11. Doornik, J. A. (2007)., An Object-Oriented Matrix Language Ox 5. Timberlake Consultants Press, London.
12. Escobar, L. A. and Meeker, W. Q. (1992). Assessing influence in regression analysis with censored data., Biometrics 48 507-528.
13. Fachini, J. B., Ortega, E. M. M. and Louzada-Neto, F. (2008). Influence diagnostics for polyhazard models in the presence of covariates., Statistical Methods and Applications 17 413-433.
14. Jung, K. M. (2008). Local influence in generalized estimating equations., Scandinavian Journal of Statistics 35 286-294.
15. Hjorth, U. (1980). A realibility distributions with increasing, decreasing, constant and bathtub failure rates., Technometrics 22 99-107.
16. Gupta, R. D. and Kundu, D. (1999). Generalized exponential distributions., Australian and New Zealand Journal of Statistics 41 173-188.
17. Klein, J. P. and Moeschberger, M. L. (1997)., Survival Analysis: Techniques for Censored and Truncated Data. Springer, New York.
18. Kundu, D. and Rakab, M. Z. (2005). Generalized Rayleigh distribution: Different methods of estimation., Computational Statistics and Data Analysis 49 187-200.
19. Lawless, J. F. (2003)., Statistical Models and Methods for Lifetime Data 2nd ed. Wiley Series in Probability and Statistics. Wiley, Hoboken, NJ.
20. Lai, C. D., Xie, M. and Murthy, D. N. P. (2003). A modified Weibull distribution., Transactions on Reliability 52 33-37.
21. Laplante-Albert, K. A. (2008). Habitat-dependent mortality risk in lacustrine fish. M.Sc. thesis, Université du Québec à Trois-Rivières, Canada.
22. Lesaffre, E. and Verbeke, G. (1998). Local influence in linear mixed models., Biometrics 54 570-582.
23. McCullagh, P. and Nelder, J. A. (1989)., Generalized Linear Models, 2nd ed. Chapman and Hall, London.
24. Mudholkar, G. S., Srivastava, D. K. and Friemer, M. (1995). The exponentiated Weibull family: A reanalysis of the bus-motor-failure data., Technometrics 37 436-445.
25. Ortega, E. M. M., Bolfarine, H. and Paula G. A. (2003). Influence diagnostics in generalized log-gamma regression models., Computational Statistics and Data Analysis 42 165-186.
26. Ortega, E. M. M., Cancho, V. G. and Bolfarine, H. (2006). Influence diagnostics in exponentiated-Weibull regression models with censored data., Statistics and Operations Research Transactions 30 172-192.
27. Ortega, E. M. M., Paula G. A. and Bolfarine, H. (2008). Deviance residuals in generalized log-gamma regression models with censored observations., Journal of Statistical Computation and Simulation 78 747-764.
28. Ortega, E. M. M., Cancho, V. G. and Paula G. A. (2009). Generalized log-gamma regression models with cure fraction., Lifetime Data Analysis 15 79-106.
29. Pettitt, A. N. and Bin Daud, I. (1989). Case-weight measures of influence for proportional hazards regression., Applied Statistics 38 51-67.
30. Rajarshi, S. and Rajarshi, M. B. (1988). Bathtub distributions., Communications in Statistics, Theory and Methods 17 2597-2621.
31. Silva, G. O., Ortega, E. M. M., Garibay, V. C. and Barreto, M. L. (2008). Log-Burr XII regression models with censored Data., Computational Statistics and Data Analysis 52 3820-3842.
32. Stacy, E. W. (1962). A generalization of the gamma distribution., The Annals of Mathematical Statistics 33 1187-1192.
33. Smith. R. M. and Bain, L. J. (1975). An exponential power life testing distributions., Communications in Statistics 4 469-481.
34. Therneau, T. M., Grambsch, P. M. and Fleming, T. R. (1990). Martingale-based residuals for survival models., Biometrika 77 147-160.
35. Therneau, T. M., Grambsch, P. M. and Fleming, T. R. (1990). Martingale-based residuals for survival models., Biometrika 77 147-160.
36. Wu, X. and Luo, Z. (1993). Second-order approach to local influence., Journal of the Royal Statistical Society. Series B 55 929-936.
37. Xie, M. and Lai, C. D. (1995). Reliability analysis using an additive Weibull model with bathtub-shaped failure rate function., Reliability Engineering and System Safety 52 87-93.
38. Xie, F. C. and Wei, B. C. (2007). Diagnostics analysis in censored generalized Poisson regression model., Journal of Statistical Computation and Simulation 77 695-708.
39. Zhu, H., Ibrahim, J. G., Lee, S. and Zhang, H. (2007). Perturbation selection and influence measures in local influence analysis., The Annals of Statistics 35 2565-2588.