On the Weibull-Gamma frailty model, its infinite moments, and its connection to generalized log-logistic, logistic, Cauchy, and extreme-value distributions

Journal of Statistical Planning and Inference

Volumn 141, Issue 2, 2011, Pages 861-868

  Molenberghs, Geert ^a,b   Verbeke, Geert ^a,b  

^a HASSELT UNIVERSITY   (Belgium)

^b UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Cauchy distribution; Exponential frailty; Gamma frailty; Weibull model

Indexed keywords

EID: 77956257537     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2010.08.008     Document Type: Article

References (8)

1. Bennett S. Log-logistic regression models for survival data. Applied Statistics 1983, 32:165-171.
2. Collett D. Modelling Survival Data in Medical Research 2003, CRC Press, Boca Raton. second ed.
3. Duchateau L., Janssen P. The Frailty Model 2007, Springer, New York.
4. Hand D.J., Daly F., Lunn A.D., McConway K.J., Ostrowski E. A Handbook of Small Data Sets 1994, Chapman & Hall, London. first ed.
5. Krishnamoorthy K. Handbook of Statistical Distributions with Applications 2006, CRC, Chapman & Hall, Boca Raton.
6. Molenberghs, G., Verbeke, G., Demétrio, C.G.B., Vieira, A., 2010. A family of generalized linear models for repeated measures with normal and conjugate random effects, Statistical Science, in press, doi:10.1214/10-STS328.
7. Rinne H. The Weibull Distribution. A Handbook 2009, CRC, Chapman & Hall, Boca Raton.
8. Shoukri M.M., Mian I.U.M., Tracy D.S. Sampling properties of estimators of the log-logistic distribution with application to Canadian precipitation data. Canadian Journal of Statistics 1988, 16:223-236.