Sur l'estimation dans les modèles linéaires généralisés à effets aléatoires
Revue de Statistique Appliquée, Tome 48 (2000) no. 1, pp. 49-67.
@article{RSA_2000__48_1_49_0,
     author = {Lavergne, C. and Trottier, C.},
     title = {Sur l'estimation dans les mod\`eles lin\'eaires g\'en\'eralis\'es \`a effets al\'eatoires},
     journal = {Revue de Statistique Appliqu\'ee},
     pages = {49--67},
     publisher = {Soci\'et\'e fran\c{c}aise de statistique},
     volume = {48},
     number = {1},
     year = {2000},
     language = {fr},
     url = {http://www.numdam.org/item/RSA_2000__48_1_49_0/}
}
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Lavergne, C.; Trottier, C. Sur l'estimation dans les modèles linéaires généralisés à effets aléatoires. Revue de Statistique Appliquée, Tome 48 (2000) no. 1, pp. 49-67. http://www.numdam.org/item/RSA_2000__48_1_49_0/

[1] Anderson D.A. and Aitkin M. (1985), Variance Components Models with Binary Response : Interviewer Variability. Journal of the Royal Statistical Society, B, 47(2) : 203-210. | MR

[2] Anderson D.A. and Hinde J.P. (1988), Random effects in generalized linear models and the EM algorithm. Communications in Statistics - Theory and Methods, 17(11) : 3847- 3856. | MR | Zbl

[3] Breslow N.E. and Clayton D.G. (1993), Approximate Inference in Generalized Linear Mixed Models. Journal of the American Statistical Association, 88(421) : 9- 25. | Zbl

[4] Engel B. and Keen A. (1994), A Simple Approach for the Analysis of Generalized Linear Mixed Models. Statistica Neelandica, 48(1) : 1-22. | Zbl

[5] Foulley J.-L. (1998), Heteroskedastic Threshold Models with Applications to the Analysis of Calving Difficulties. International Bull Evaluation Service, 18: 3-11.

[6] Foulley J.-L. and Im S. (1993), A Marginal Quasi-Likelihood Approach to the Analysis of Poisson Variables with Generalized Linear Mixed Models. Genetics, Selection, Evolution, 25: 101-107.

[7] Gaudoin O., Lavergne C. and Soler J.-L. (1994), A Generalized Geometric de-Eutrophication Software Reliability Model. IEEE Trans. on Reliability, 43(4) : 536- 541.

[8] Gianola D. and Foulley J.-L. (1983), Sire Evaluation for Ordered Categorical Data with a Threshold Model. Genetic Selection Evolution, 15(2) : 201-224.

[9] Gilmour A.R., Anderson R.D. and Rae A.L. (1985), The Analysis of Binomial Data by a Generalized Linear Mixed Model. Biometrika, 72(3) : 593-599. | MR

[10] Henderson C.R., Kempthorne O., Searle S.R. and Von Krosig C.N. (1959), Estimation of Environmental and Genetic Trends from Records Subject to Culling. Biometrics, 15:192-218. | MR | Zbl

[11] Hinde J. (1982), Compound Poisson Regression Models. In R. Gilchrist, editor, GLIM 82 : Proceeding of the International Conference on Generalized Linear Models, number 14 in Lecture Notes in Statistics, pages 109-121. Springer-Verlag. | Zbl

[12] Lee Y. and Nelder J.A. (1996), Hierarchical Generalized Linear Models. Journal of the Royal Statistical Society, B, 58(4) : 619-678. | MR | Zbl

[13] Mccullagh P. and Nelder J. (1989), Generalized Linear Models. Chapman and Hall, second edition. | MR | Zbl

[14] Mcgilchrist C.A. (1994), Estimation in Generalized Mixed Models. Journal of the Royal Statistical Society, B, 56(1): 61-69. | MR | Zbl

[15] Rao C.R. and Kleffe J. (1988), Estimation of Variance Components and Applications. Number 3 in Series in Statistics and Probability. North Holland. | MR | Zbl

[16] Schall R. (1991), Estimation in Generalized Linear Models with Random Effects. Biometrika, 78(4) : 719-727. | Zbl

[17] Searle S.R., Casella G. and Mcculloch C.E. (1992), Variance components. John Wiley & Sons. | MR

[18] Shaeffer L.R. and Wilton J.W. (1976), Methods of Sire Evaluation for Calving Ease. Journal of Dairy Science, 59: 544 - 551.

[19] Stiratelli R., Laird N. and Ware J.H. (1984), Random-Effects Models for Serial Observations with Binary Response. Biometrics, 40: 961 -971.

[20] Trottier C. (2000), A Quasi-Score Marginal Approach in Generalized Linear Mixed Models. A paraître dans Statistics. | MR | Zbl

[21] Wedderburn R.W.M. (1974), Quasi-Likelihood Functions, Generalized Linear Models and the Gauss-Newton Method. Biometrika, 61: 439-447. | MR | Zbl