Analyzing grouped, censored, and truncated data using the odd weibull family

Communications in Statistics - Theory and Methods

Volumn 41, Issue 15, 2012, Pages 2661-2680

  Cooray, Kahadawala ^a  

^a CENTRAL MICHIGAN UNIVERSITY   (United States)

Author keywords

Censored and truncated data; Coverage probabilities; Grouped data; Odd Weibull

Indexed keywords

COVERAGE PROBABILITIES; ESTIMATION METHODS; GROUPED DATA; INVERSE TRANSFORMATIONS; INVERSE WEIBULL DISTRIBUTION; LIFETIME DATA MODELING; SURVIVAL ANALYSIS; TRUNCATED DATA; WEIBULL; WEIBULL PARAMETERS;

MATHEMATICAL TECHNIQUES; STATISTICS;

WEIBULL DISTRIBUTION;

EID: 84862684944     PISSN: 03610926     EISSN: 1532415X     Source Type: Journal    
DOI: 10.1080/03610926.2011.556294     Document Type: Article

References (21)

1. Collett, D. (2003). Modelling Survival Data In Medical Research. London: Chapman & Hall/CRC.
2. Cooray, K. (2006). Generalization of the Weibull distribution: The odd Weibull family. Statist. Model. 6:265-277.
3. Cooray, K. (2010). Generalized Gumbel distribution. J. App. Statist. 37:171-179.
4. Dimitrakopoulou, T. D., Adamidis, K., Loukas, S. (2007). A lifetime distribution with an upside-down bathtub-shaped hazard function. IEEE Trans. Reliab. 56:308-311.
5. Eaton, W. W., Whitmore, G. A. (1977). Length of stay as a stochastic process: A general approach and application to hospitalization for schizophrenia. J. Mathemat. Sociol. 5:273-292.
6. Hyde, J. (1977). Testing survival under right-censoring and left-truncation. Biometrika 64:225-230.
7. Jiang, H., Xie, M., Tang, L. C. (2008). On the odd Weibull distribution. J. Risk Reliab. 222:583-594.
8. Kaplan, E. L., Meier, P. (1958). Nonparametric estimation from incomplete observations. J. Amer. Statist. Assoc. 53:457-481.
9. Klein, J. P., Moeschberger, M. L. (1997). Survival Analysis. New York: Springer-Verlag.
10. Lawless, J. F. (2003). Statistical Models Methods for Lifetime Data. New York: Wiley.
11. Mudholkar, G. S., Srivastava, D. K., Freimer, M. (1995). The exponentiated Weibull family: A reanalysis of the bus-motor-failure data. Technometrics 37:436-445.
12. Mudholkar, G. S., Srivastava, D. K., Kollia, G. D. (1996). A generalization of the Weibull distribution with application to the analysis of survival data. J. Amer. Statist. Assoc. 91:1575-1583.
13. Murthy, D. N. P., Xie, M., Jiang, R. (2004). Weibull Models. New York: Wiley.
14. Peto, R. (1973). Experimental survival curves for interval-censored data. Appl. Statist. 22:86-91.
15. Richman, D. D., Grimes, J. M., Lagakos, S. W. (1990). Effect of stage of disease and drug dose on zidovudine susceptibilities of isolates of human immunodeficiency virus. J. AIDS 3:743-746.
16. Rinne, H. (2008). The Weibull Distribution. London: Chapman & Hall/CRC.
17. Ryan, L. M., Lindsey, J. C. (1998). Tutorials in Biostatistics; Methods for interval censored data. Statist. Med. 17:219-238.
18. Stacy, E. W. (1962): A generalization of the gamma distribution. Ann. Mathemat. Satist. 33:1187-1192.
19. Tsai, W.-Y., Jewell, N. P., Wang, M.-C. (1987). A note on the product limit estimator under right-censoring and left-truncation. Biometrika 74:883-886.
20. Turnbull, B. W. (1976). The empirical distribution function with arbitrarily grouped, censored and truncated data. J. Roy. Statist. Soc. B 38:290-295.
21. Whitmore, G. A. (1986). Normal-gamma mixtures of inverse Gaussian distributions. Scand. J. Statist. 13:211-220.