REFERENCES
- Augustin , N. H. , Mugglestone , M. A. and Buckland , S. T. 1996 . “An Autologistic Model for the Spatial Distribution of Wildlife,” . Journal of Applied Ecology , 33 : 339 – 347 .
- Besag , J. 1974 . “Spatial Interaction and the Statistical Analysis of Lattice Systems,” . Journal of the Royal Statistical Society, Series B , 36 : 192 – 225 .
- Besag , J. 1986 . “On the Statistical Analysis of Dirty Pictures” (with discussion), . Journal of the Royal Statistical Society, Series B , 48 : 259 – 302 .
- Buckland , S. T. and Elston , D. A. 1993 . “Empirical Models for the Spatial Distribution of Wildlife,” . Journal of Applied Ecology , 30 : 478 – 495 .
- Clifford , P. 1990 . “Markov Random Fields in Statistics,” . In Disorder in Physical Systems , Edited by: Grimmett , G. R. and Welsh , D. J. A. 19 – 31 . Oxford : Oxford University Press .
- Cressie , N. A. C. 1993 . Statistics for Spatial Data , (2nd ed.) , New York : Wiley .
- Cressie , N. A. C. and Davidson , J. 1998 . “Image Analysis with Partially Ordered Markov Models,” . Computational Statistics and Data Analysis , 29 : 1 – 26 .
- Descombes , X. , Mangin , J. , Pechersky , E. and Sigelle , M. 1995 . “Fine Structures Preserving Model for Image Processing,” . In Proceedings of the 9th SCIA 95 349 – 356 .
- Friel , N. , Pettitt , A. N. , Reeves , R. and Wit , E. 2009 . “Bayesian Inference in Hidden Markov Random Fields for Binary Data Defined on Large Lattices,” . Journal of Computational and Graphical Statistics , 18 : 243 – 261 .
- Friel , N. and Rue , H. 2007 . “Recursive Computing and Simulation-Free Inference for General Factorizable Models,” . Biometrika , 94 : 661 – 672 .
- Gelman , A. and Meng , X.-L. 1998 . “Simulating Normalizing Constants: From Importance Sampling to Bridge Sampling to Path Sampling,” . Statistical Science , 13 : 163 – 185 .
- Geyer , C. J. and Thompson , E. A. 1995 . “Annealing Markov Chain Monte Carlo With Applications to Ancestral Inference,” . Journal of American Statistical Association , 90 : 909 – 920 .
- Golub , G. H. and van Loan , C. F. 1996 . Matrix Computations(3rd ed.) , Baltimore, , MD : Johns Hopkins University Press .
- Goodman , J. and Sokal , A. D. 1989 . “Multigrid Monte Carlo Method: Conceptual Foundations,” . Physical Review D , 40 : 2035 – 2071 .
- Green , P. J. 1995 . “Reversible Jump MCMC Computation and Bayesian Model Determination,” . Biometrika , 82 : 711 – 732 .
- Heikkinen , J. and Högmander , H. 1994 . “Fully Bayesian Approach to Image Restoration With an Application in Biogeography,” . Applied Statistics , 43 : 569 – 582 .
- Hoeting , J. A. , Leecaster , M. and Bowden , D. 2000 . “An Improved Model for Spatially Correlated Binary Responses,” . Journal of Agricultural, Biological, and Environmental Statistics , 5 : 102 – 114 .
- Huang , F. and Ogata , Y. 2002 . “Generalized Pseudo-Likelihood Estimates for Markov Random Fields on Lattice,” . Annals of the Institute of Statistical Mathematics , 54 : 1 – 18 .
- Kindermann , R. and Snell , J. L. 1980 . Markov Random Fields and Their Applications , Providence, , RI : American Mathematical Society .
- Künsch , H. R. 2001 . “State Space and Hidden Markov Models,” . In Complex Stochastic Systems , Edited by: Barndorff-Nielsen , O. E. , Cox , D. R. and Klüppelberg , C. Boca Raton , FL : Chapman & Hall/CRC .
- Møller , J. , Pettitt , A. , Reeves , R. and Berthelsen , K. 2006 . “An Efficient Markov Chain Monte Carlo Method for Distributions With Intractable Normalising Constants,” . Biometrika , 93 : 451 – 458 .
- Murray , I. 2007 . “Advances in Markov Chain Monte Carlo Methods,” . Ph.D. dissertation, Gatsby Computational Neuroscience Unit, University College London
- Pettitt , A. N. , Friel , N. and Reeves , R. 2003 . “Efficient Calculation of the Normalising Constant of the Autologistic and Related Models on the Cylinder and Lattice,” . Journal of the Royal Statistical Society, Series B , 65 : 235 – 247 .
- Propp , J. G. and Wilson , D. B. 1996 . “Exact Sampling With Coupled Markov Chains and Applications to Statistical Mechanics,” . Random Structures and Algorithms , 9 : 223 – 252 .
- Reeves , R. and Pettitt , A. N. 2004 . “Efficient Recursions for General Factorisable Models,” . Biometrika , 91 : 751 – 757 .
- Rue , H. 2001 . “Fast Sampling of Gaussian Markov Random Fields,” . Journal of the Royal Statistical Society, Series B , 63 : 325 – 338 .
- Rydén , T. and Titterington , D. M. 1998 . “Computational Bayesian Analysis of Hidden Markov Models,” . Journal of Computational and Graphical Statistics , 7 : 194 – 211 .
- Scott , A. L. 2002 . “Bayesian Methods for Hidden Markov Models: Recursive Computation in the 21st Century,” . Journal of the American Statistical Association , 97 : 337 – 351 .
- Tjelmeland , H. and Besag , J. 1998 . “Markov Random Fields With Higher Order Interactions,” . Scandinavian Journal of Statistics , 25 : 415 – 433 .