Modélisation de la fragilité en survie
Journal de la société française de statistique, Volume 143 (2002) no. 1-2, p. 103-119
@article{JSFS_2002__143_1-2_103_0,
     author = {Rondeau, Virginie and Commenges, Daniel},
     title = {Mod\'elisation de la fragilit\'e en survie},
     journal = {Journal de la soci\'et\'e fran\c caise de statistique},
     publisher = {Soci\'et\'e fran\c caise de statistique},
     volume = {143},
     number = {1-2},
     year = {2002},
     pages = {103-119},
     language = {fr},
     url = {http://www.numdam.org/item/JSFS_2002__143_1-2_103_0}
}
Modélisation de la fragilité en survie. Journal de la société française de statistique, Volume 143 (2002) no. 1-2, pp. 103-119. http://www.numdam.org/item/JSFS_2002__143_1-2_103_0/

Aalen O.O. (1988), Heterogeneity in survival analysis, Statistics in Medicine, 7, 1121-1137.

Aalen O.O. (1994), Effects of frailty in survival analysis, Statistical methods in medical research, 3, 227-243.

Clayton D.G. (1978), A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence, Biometrika, 65, 141-151. | MR 501698 | Zbl 0394.92021

Clayton D.G., Cuzick J. (1985), Multivariate generalizations of the proportional hazards model (with discussion), Journal of the Royal Statistical Society A, 148, 82-117. | MR 806480 | Zbl 0581.62086

Clayton D.G.(1991), A monte carlo method for baysian inference in frailty models, Biometrics, 47, 467-485.

Commenges D. (1995), Developments of the WPC approach and application to linkage analysis of breast cancer, Genetic Epidemiology, 12, 853-857.

Commenges D., Andersen P.K. (1995), Score test of homogeneity for survival data, Lifetime Data Analysis, 1, 145-156. | MR 1353846 | Zbl 0836.62096

Ducrocq V., Casella G. (1996), A Bayesian analysis of mixed survival models, Genetics selection evolution, 28, 505-529.

Gray R.J. (1992), Flexible methods for analyzing survival data using splines, with applications to breast cancer prognosis, Journal of the American Statistical Association, 87, 942-951.

Ha I.D., Lee Y., Song J.K. (2001), Hierarchical likelihood approach for frailty models, Biometrika, 88, 233-243. | MR 1841271 | Zbl 1033.62096

Harville D. (1977), Maximum likelihood approaches to variance component estimation and to related problems, Journal of the American Statistical Association, 72, 320-340. | MR 451550 | Zbl 0373.62040

Henderson R., Diggle P., Dobson A. (2001), Joint modelling of longitudinal measurements and event time data, Biostatistics, 01, 465-480. | Zbl 1089.62519

Hougaard P. (1986), A class of multivariate failure time distributions, Biometrika, 73, 671-678. | MR 897858 | Zbl 0613.62121

Hougaard P. (1995), Frailty models for survival data, Lifetime Data Analysis, 255-273.

Hougaard P. (2000), Analysis of Multivariate Survival Data, Springer-Verlag New-York. | MR 1777022 | Zbl 0962.62096

Johansen S. (1983), An extension of Cox's regression model, International Statistical Review, 51, 165-174. | MR 715533 | Zbl 0526.62081

Joly P., Commenges D., Letenneur L. (1998), A penalized likelihood approach for arbitrarily censored and truncated data : application to age-specific incidence of dementia, Biometrics, 54, 185-194. | Zbl 1058.62618

Keiding N., Andersen P.K., Klein J.P. (1997), The role of frailty models and accelerated failure time models in describing heterogeneity due to omitted covariates, Statistics in Medicine, 16, 215-224.

Klein J.P. (1992), Semiparametric estimation of random effects using the Cox model based on the EM algorithm, Biometrics, 48, 795-806.

Korsgaard I.R., Andersen A.H. (1998), The additive genetic gamma frailty model, Scandinavian Journal of Statistics, 25, 255-269. | MR 1649032 | Zbl 0910.62115

Lee Y., Nelder J.A. (1996), Hierarchical generalized linear models, Journal of the Royal Statistical Society B, 58, 619-678. | MR 1410182 | Zbl 0880.62076

Mcgilchrist C.A., Aisbett C.W. (1991), Regression with frailty in survival analysis, Biometrics, 47, 461-466.

Murphy S.A. (1994), Consistency in a proportional hazards model incorporating a random effect, The Annals of Statistics, 22, 712-731. | MR 1292537 | Zbl 0827.62033

Murphy S.A. (1995), Asymptotic theory for the frailty model, The Annals of Statistics, 23, 182-198. | MR 1331663 | Zbl 0822.62069

Nielsen G.G., Gill R.D., Andersen P.K., Sorensen T.I.A. (1992), A counting process approach to maximum likelihood estimation in frailty models, Scandinavian Journal of Statistics, 19, 25-43. | MR 1172965 | Zbl 0747.62093

O'Sullivan F. (1988), Fast computation of fully automated log-density and loghazard estimators, SIA M Journal on Scientific Computing, 9, 363-379. | MR 930052 | Zbl 0688.65083

Parner E. (1997), Inference in semiparametric frailty models. Ph.D. dissertation, University of Aarhus, Denmark.

Parner E. (1998), Asymptotic theory for the correlated gamma-frailty model, The Annals of Statistics, 26, 183-214. | MR 1611788 | Zbl 0934.62101

Petersen J.H. (1998), An additive frailty model for correlated life times, Biometrics, 54, 646-661. | Zbl 1058.62644

Pickles A., Crouchley R. (1994), Generalizations and applications of frailty models for survival and event data, Statistical methods in medical research, 3, 263-278.

Ramsay J.O. (1988), Monotone regression splines in action, Statistical Science, 3, 425-461.

Ripatti S., Palmgren J. (2000), Estimation of multivariate frailty models using penalized partial likelihood, Biometrics, 56, 1016-1022. | MR 1806744 | Zbl 1060.62564

Rondeau V., Commenges D., Joly P. (2002), Maximum penalized likelihood estimation in frailty models, In press, Lifetime Data Analysis. | Zbl 1116.62408

Silverman B.W. (1985), Some aspects of the spline smoothing approach to non-parametric regression curve fitting, Journal of the Royal Statistical Society B, 47, 1-52. | MR 805063 | Zbl 0606.62038

Therneau T.M., Grambsch P.M. (2001), Modeling Survival Data : Extending the Cox Model, Springer- Verlag New-York. | MR 1774977 | Zbl 0958.62094

Tietze C. (1968), Fertility after discontinuation of intrauterine and oral contraception, International Journal of Fertility, 13, 385-389.

Wei L.J., Lin D.Y., Weissfeld L. (1989), Regression analysis of multivariate incomplete failure time data by modeling marginal distributions, Journal of the American Statistical Association, 84, 1065-1073. | MR 1134494

Yashin A.I., Vaupel J.W., Iachine I.A. (1995), Correlated individual frailty : an advantageous approach to survival anlysis of bivariate data, Mathematical Population studies, 5, 145-159. | Zbl 0873.62121

Zucker D.M., Karr A.F. (1990), Nonparametric survival analysis with time-dependent covariate effects : A penalized partial likelihood approach, The Annals of Statistics, 18, 329-353. | MR 1041396 | Zbl 0708.62035