References
- Agresti , A. ( 1990 ). Categorical Data Analysis . New York : John Wiley & Sons .
- Cai , J. , Prentice , R. L. ( 1995 ). Estimating equations for hazard ratio parameters based on correlated failure time data . Biometrika 82 : 151 – 164 .
- Clayton , D. , Cuzick , J. ( 1985 ). Multivariate generations of the proportional hazards model (with discussion) . Journal of the Royal Statistical Society, Series A 148 : 82 – 117 .
- Dennis , J. E. , Mei , H. H. W. ( 1979 ). Two new unconstrained optimization algorithms which use function and gradient values . Journal of Optimized Theory and Applications 28 : 453 – 482 .
- Gay , D. M. ( 1983 ). Subroutines for unconstrained minimization . ACM Transactions on Mathematical Software 9 : 503 – 524 .
- Gorfine , M. , Zucker , D. M. , Hsu , L. ( 2006 ). Prospective survival analysis with a general semiparametric shared frailty model: A pseudo full likelihood approach . Biometrika 93 : 735 – 741 .
- Hoadley , B. ( 1971 ). Asymptotic properties of maximum likelihood estimators for the independent not identically distributed case . Annals of Mathematical Statistics 44 : 1977 – 1991 .
- Hougaard , P. ( 1986 ). A class of multivariate failure time distributions . Biometrika 73 : 671 – 678 .
- Hougaard , P. ( 2000 ). Analysis of Multivariate Survival Data . New York : Springer-Verlag .
- Hua , Y. ( 2001 ). Multivariate Failure Time Analysis when only the Time to First Failure is Observed. Ph.D. dissertation, Department of Mathematics, The University of Texas at Arlington, Arlington, TX .
- Lawless , J. F. ( 1982 ). Statistical Models and Methods for Lifetime Data . New York : John Wiley & Sons , pp. 17–20, 372–379, 528–530 .
- Lehmann , E. L. , Casella , G. ( 1998 ). Theory of Point Estimation . New York : Springer-Verlag .
- Liang , K. Y. , Self , S. , Chang , Y. C. ( 1993 ). Modeling marginal hazards in multivariate failure time data . Journal of Royal Statistical Society 55 : 441 – 453 .
- Maki , D. G. , Mermel , L. A. , Kluger , D. , Narans , D. , Knasinski , V. , Parenteau , S. , Covington , P. ( 2000 ). The efficacy of chlorhexidine-impregnated sponge (BIOPATCH®) for the prevention of intravascular catheter-related infection – a prospective, randomized, controlled, multicenter study . The 40th Interscience Conference on Antimicrobial Agents and Chemotherapy , Toronto , Canada , p. 422 .
- Murphy , S. A. ( 1995 ). Asymptotic theory for the frailty model . The Annals of Statistics 23 : 182 – 198 .
- Murphy , S. A. , van der Vaart , A. W. ( 2000 ). On profile likelihood . Journal of the American Statistical Association—Theory and Methods 95 ( 450 ): 449 – 465 .
- Oskrochi , G. R. ( 1995 ). Analysis of censored correlated observations . Journal of Statistical Planning and Inference 47 : 165 – 180 .
- Severini , T. A. , Wong , W. H. ( 1992 ). Profile likelihood and conditionally parametric models . The Annals of Statistics 20 : 1768 – 1802 .
- Wei , L. J. , Lin , D. Y. , Wessfeld , L. ( 1989 ). Regression analysis of multivariate incomplete failure time data by modeling marginal distributions . Journal of the American Statistical Association 84 : 1065 – 1073 .