Conditional Akaike information criterion for generalized linear mixed models

Computational Statistics and Data Analysis

Volumn 56, Issue 3, 2012, Pages 629-644

  Yu, Dalei ^a,b   Yau, Kelvin K W ^b  

^a YUNNAN UNIVERSITY OF FINANCE AND ECONOMICS   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Conditional Akaike information; Generalized linear mixed model; Model identification; Poisson time series; Variance component

Indexed keywords

CONDITIONAL AKAIKE INFORMATION; GENERALIZED LINEAR MIXED MODELS; MODEL IDENTIFICATION; POISSON TIME SERIES; VARIANCE COMPONENTS;

ESTIMATION; STATISTICAL TESTS; TIME SERIES;

BIT ERROR RATE;

EID: 80455176896     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2011.09.012     Document Type: Article

References (31)

1. H. Akaike Information theory and an extension of the maximum likelihood principle B.N. Petrov, F. Csáki, Second International Symposium Information Theory 1973 Akadémia Kiadó Budapest 267 281
2. R. Azari, L. Li, and C.L. Tsai Longitudinal data model selection Comput. Statist. Data Anal. 50 2006 3053 3066 (Pubitemid 43729091)
3. N.E. Breslow, and D.G. Clayton Approximate inference in generalized linear mixed models J. Amer. Statist. Assoc. 88 1993 9 25
4. P.J. Brockwell, and R.A. Davis Time Series: Theory and Methods second ed. 1991 Springer New York
5. K.P. Burnham, and D.R. Anderson Model Selection and Multimodel Inference: A Practical Information-Theory Approach second ed. 2002 Springer New York
6. B. Cai, and D.B. Dunson Bayesian covariance selection in generalized linear mixed models Biometrics 62 2006 446 457 (Pubitemid 43926649)
7. K.S. Chan, and J. Ledolter Monte Carlo EM estimation for time series models involving counts. J. Amer. Statist. Assoc. 90 1995 242 252
8. Z. Chen, and D.B. Dunson Random effects selection in linear mixed models Biometrics 59 2003 762 769 (Pubitemid 38021203)
9. M.H. Chen, J.G. Ibrahim, Q.M. Shao, and R.E. Weiss Prior elicitation for model selection and estimation in generalized linear mixed models J. Statist. Plann. Inference 111 2003 57 76
10. D. Commenges, and H. Jacqmin-Gadda Generalized score test of homogeneity based on correlated random effects models J. Roy. Statist. Soc. Ser. B 59 1997 157 171 (Pubitemid 127686946)
11. S. Greven, and T. Kneib On the behaviour of marginal and conditional AIC in linear mixed models Biometrika 97 2010 773 789
12. I.D. Ha, Y. Lee, and G. MacKenzie Model selection for multi-component frailty models Stat. Med. 26 2007 4790 4807 (Pubitemid 350020388)
13. J.S. Hodges, and D.J. Sargent Counting degrees of freedom in hierarchical and other richly-parameterised models Biometrika 88 2001 367 379 (Pubitemid 33770991)
14. H. Joe Accuracy of Laplace approximation for discrete response mixed models Comput. Statist. Data Anal. 52 2008 5066 5074
15. Y. Lee, and J.A. Nelder Hierarchical generalized linear models (with discussion) J. Roy. Statist. Soc. Ser. B 58 1996 619 656
16. Y. Lee, and J.A. Nelder Double hierarchical generalized linear models (with discussion) J. Roy. Statist. Soc. Ser. C 55 2006 139 167
17. Y. Lee, J.A. Nelder, and Y. Pawitan Generalized Linear Models with Random Effects: Unified Analysis Via H-likelihood 2006 Chapman & Hall London
18. H. Liang, H. Wu, and G. Zou A note on conditional AIC for linear mixed-effects models Biometrika 95 2008 773 778
19. X. Lin Variance component testing in generalised linear models with random effects Biometrika 84 1997 309 326
20. C.A. McGilchrist Estimation in generalized mixed models J. Roy. Statist. Soc. Ser. B 56 1994 61 69
21. C.A. McGilchrist, and K.K.W. Yau The derivation of BLUP, ML, REML estimation methods for generalised linear mixed models Commun. Stat. Theory Methods 24 1995 2963 2980
22. M. Noh, and Y. Lee REML estimation for binary data in GLMMs J. Multivariate Anal. 98 2007 896 915
23. M. Noh, and Y. Lee Hierarchical-likelihood approach for nonlinear mixed-effects models Comput. Statist. Data Anal. 52 2008 3517 3527
24. R. Schall Estimation in generalized linear models with random effects Biometrika 78 1991 719 727
25. D.J. Spiegelhalter, N.G. Best, B.P. Carlin, and A. Van der Linde Bayesian measures of model complexity and fit (with discussion) J. Roy. Statist. Soc. Ser. B 64 2002 583 616
26. P.F. Thall, and S.C. Vail Some covariance models for longitudinal count data with overdispersion Biometrics 46 1990 657 671 (Pubitemid 20333601)
27. L. Tierney, and J.B. Kadane Accurate approximations for posterior moments and marginal densities J. Amer. Statist. Assoc. 81 1986 82 86
28. F. Vaida, and S. Blanchard Conditional Akaike information for mixed-effects models Biometrika 92 2005 351 370 (Pubitemid 40937640)
29. K.K.W. Yau, and A.Y.C. Kuk Robust estimation in generalized linear mixed models J. Roy. Statist. Soc. Ser. B 64 2002 101 117
30. J. Ye On measuring and correcting the effects of data mining and model selection J. Amer. Statist. Assoc. 93 1998 120 131
31. S.L. Zeger A regression model for time series of counts Biometrika 75 1988 621 629