References
- Abramowitz , M. and Stegun , I.A. 1965 . Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables New York : Dover Pub .
- Aitkin , M. 1996 . A general maximum likelihood analysis of over-dispersion in generalized linear models . Statistics and Computing , 6 : 251 – 267 .
- Aitkin , M. 1999 . A general maximum likelihood analysis of variance components in generalized linear models . Biometrics , 55 : 117 – 128 .
- Aitkin , M. and Rocci , R. 2002 . A general maximum likelihood analysis of measurement error in generalized linear models . Statistics and Computing , 12 : 163 – 174 .
- Breslow , N. and Clayton , D.G. 1993 . Approximate inference in generalized linear mixed models . Journal of the American Statistical Association , 88 : 9 – 25 .
- Dempster , A. , Laird , N. and Rubin , D. B. 1977 . Maximum likelihood from incomplete data via the EM algorithm . Journal of the Royal Statistical Society B , 39 : 1 – 38 .
- Diggle , P. , Liang , K. and Zeger , S. L. 1994 . Analysis of Longitudinal Data Oxford : Oxford University Press .
- Hua , L.K. and Wang , Y. 1981 . Applications of Number Theory to Numerical Analysis Berlin : Springer-Verlag .
- Lee , Y. and Nelder , J. A. 1996 . Hierarchical generalized linear models . Journal of the Royal Statistical Society B , 58 : 619 – 678 .
- McCullagh , P. and Nelder , J. A. 1989 . Generalized Linear Models. , 2nd ed. London : Chapman and Hall .
- McCulloch , C. E. 1994 . Maximum likelihood variance components estimation for binary data . Journal of the American Statistical Association , 89 : 330 – 335 .
- McCulloch , C. E. 1997 . Maximum likelihood algorithm for generalized linear mixed models . Journal of the American Statistical Association , 92 : 162 – 170 .
- McGilchrist , C. A. 1994 . Estimation in generalized mixed models . Journal of the Royal Statistical Society B , 56 : 61 – 69 .
- Natarajan , R. and Kass , R. E. 2000 . Reference Bayesian methods for generalized linear mixed models . Journal of the American Statistical Association , 95 : 227 – 237 .
- Naylor , J. and Smith , A. F. M. 1982 . Applications of a method for the efficient computation of posterior distributions . Applied Statistics , 31 : 214 – 225 .
- Schall , R. 1999 . Estimation in generalized linear models with random effects . Biometrika , 78 : 719 – 727 .
- Zeger , S. and Karim , M. R. 1991 . Generalized linear models with random effects: a Gibbs sampling approach . Journal of the American Statistical Association , 86 : 79 – 86 .
- Zhu , H. and Lee , S. Y. 2002 . Analysis of generalized linear mixed models via a stochastic approximation algorithm withMarkov chainMonte-Carlo method . Statistics and Computing , 12 : 175 – 183 .