Pairwise likelihood inference in spatial generalized linear mixed models

Computational Statistics and Data Analysis

Volumn 49, Issue 4, 2005, Pages 1173-1191

  Varin, Cristiano ^a   Høst, Gudmund ^b   Skare, Øivind ^c  

^a UNIVERSITY OF PADOVA   (Italy)

^b Norges forskningsrad   (Norway)

^c UNIVERSITY OF OSLO   (Norway)

Author keywords

Composite likelihood; Expectation maximization algorithm; Gauss Hermite quadrature; Model based geostatistics; Pairwise likelihood

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; DATA REDUCTION; MARKOV PROCESSES; MATHEMATICAL MODELS; OPTIMIZATION; PARAMETER ESTIMATION;

COMPOSITE LIKELIHOOD; EXPECTATION-MAXIMIZATION (EM) ALGORITHM; GAUSS-HERMITE QUADRATURE; MODEL-BASED GEOSTATISTICS; PAIRWISE LIKELIHOOD;

MAXIMUM LIKELIHOOD ESTIMATION;

EID: 19044376699     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2004.07.021     Document Type: Article

References (31)

1. J.G. Booth, and J.P. Hobert Maximizing generalized linear mixed model likelihoods with an automated Monte Carlo EM algorithm J. Roy. Statist. Soc. Ser. B 61 1999 265 285
2. N.E. Breslow, and D.G. Clayton Approximate inference in generalized linear mixed models J. Amer. Statist. Assoc. 88 421 1993 9 25
3. O.F. Christensen, and R.P. Waagepetersen Bayesian prediction of spatial count data using generalized linear mixed models Biometrics 58 2002 280 286
4. Cox, D.R., Reid, N., 2004. A note on pseudolikelihood constructed from marginal densities. Biometrika, to appear.
5. N. Cressie Statistics for Spatial Data second ed 1993 Wiley New York
6. P.J. Diggle, J.A. Tawn, and R.A. Moyeed Model-based Geostatistics (with discussion) J. Roy. Statist. Soc. Ser. B 47 2 1998 299 350
7. P.J. Heagerty, and S.R. Lele A composite likelihood approach to binary spatial data J. Amer. Statist. Assoc. 93 1998 1099 1111
8. P.J. Heagerty, and T. Lumley Window subsampling of estimating functions with application to regression models J. Amer. Statist. Assoc. 95 2000 197 211
9. R. Henderson, and S. Shimakura A serially correlated gamma frailty model for longitudinal count data Biometrika 90 2 2003 355 366
10. N.L. Hjort, and H. Omre Topics in spatial statistics Scand. J. Statist. 21 1994 289 357
11. H.-C. Huang, N. Cressie, and J. Gabrosek Fast resolution consistent spatial prediction of global processes from satellite data J. Comput. Graphical Statist. 11 1 2002 63 88
12. R. Ihaka, and R. Gentleman R A language for data analysis and graphics J. Comput. Graphical Statist. 5 3 1996 299 314
13. A.Y. Kuk, and D. Nott A pairwise likelihood approach to analyzing correlated binary data Statist. Probab. Lett. 47 2000 329 335
14. E. Lesaffre, and B. Speissens On the effect of the number of quadrature points in a logistic random-effects model an example Appl. Statist. 50 3 2001 325 335
15. B. Lindsay Composite likelihood methods N.U. Prabhu Statistical Inference from Stochastic Processes 1988 American Mathematical Society Providence RI
16. T.A. Louis Finding the observed information matrix when using the EM algorithm J. Roy. Statist. Soc. Ser. B 44 2 1982 226 233
17. C.E. McCulloch Maximum likelihood algorithms for generalized linear mixed models J. Amer. Statist. Assoc. 92 437 1997 162 170
18. P. McCullagh, and J.A. Nelder Generalized Linear Models second ed 1989 Chapman & Hall London
19. C.E. McCulloch, and S.R. Searle Generalized, Linear, and Mixed Models 2001 Wiley New York
20. G.J. McLachlan, and T. Krishnan The EM Algorithm and Extensions 1997 Wiley New York
21. J.A. Nelder, and R. Mead A simplex method for function minimization Comput. J. 7 1965 308 313
22. D.J. Nott, and T. Rydén Pairwise likelihood methods for inference in image models Biometrika 86 3 1999 661 676
23. E.T. Parner A composite likelihood approach to multivariate survival data Scand. J. Statist. 28 2001 295 302
24. D. Renard, G. Molenberghs, and H. Geys A pairwise likelihood approach to estimation in multilevel probit models Comput. Statist. Data Anal. 44 2004 649 667
25. H. Rue Fast sampling of Gaussian Markov random fields J. Roy. Soc. Ser. B 63 2 2001
26. H. Rue, and H. Tjelmeland Fitting Gaussian Markov random fields to Gaussian fields Scand. J. Statist. 29 1 2002 31 49
27. Z. Shun, and C.E. McCullogh Laplace approximation of high-dimensional integrals J. Roy. Statist. Soc. Ser. B 57 1995 749 760
28. H.J. Skaug Automatic differentiation to facilitate maximum likelihood estimation in nonlinear random effects models J. Comput. Graphical Statist. 11 2 2002 458 470
29. C.F.J. Wu On the convergence properties of the EM algorithm Anna. Statist. 11 1 1983 95 103
30. H. Zhang On estimation and prediction for spatial generalized linear mixed models Biometrics 58 1 2002 129 136
31. H. Zhang Inconsistent estimation and asymptotically equal interpolations in model-based geostatistics J. Amer. Statist. Assoc. 99 2004 250 261