Markov Chain Monte Carlo for a spatial-temporal autologistic regression model

Journal of Computational and Graphical Statistics

Volumn 17, Issue 1, 2008, Pages 123-137

  Zheng, Yanbing ^a   Zhu, Jun ^b  

^a UNIVERSITY OF KENTUCKY   (United States)

^b University of Wisconsin   (United States)

Author keywords

Autologistic model; Gibbs sampler; Metropolis hastings algorithm; Perfect simulation; Spatial temporal process

Indexed keywords

EID: 41949123693     PISSN: 10618600     EISSN: None     Source Type: Journal    
DOI: 10.1198/106186008X289641     Document Type: Article

References (21)

1. Berthelsen, K. K., and Møller, J. (2003), "Likelihood and Nonparametric Bayesian MCMC Inference for Spatial Point Processes Based on Perfect Simulation and Path Sampling," Scandinavian Journal of Statistics, 30, 549-564.
2. Besag, J. (1972), "Nearest-Neighbour Systems and the Auto-Logistic Model for Binary Data," Journal of the Royal Statistical Society, Series B, 34, 75-83.
3. (1974), "Spatial Interaction and the Statistical Analysis of Lattice Systems" (with discussion), Journal of the Royal Statistical Society, Series B, 36, 192-236.
4. (1975), "Statistical Analysis of Non-lattice Data," The Statistician, 24, 179-195.
5. Gelman, A., and Meng, X. L. (1998), "Simulating Normalizing Constants: From Importance Sampling to Bridge Sampling to Path Sampling," Statistical Science, 13, 163-185.
6. Geyer, C. J., and Thompson, E. A. (1992), "Constrained Monte Carlo Maximum Likelihood for Dependent Data" (with discussion), Journal of the Royal Statistical Society, Series B, 54, 657-699.
7. Gu, M. G., and Zhu, H. T. (2001), "Maximum Likelihood Estimation for Spatial Models by Markov Chain Monte Carlo Stochastic Approximation," Journal of the Royal Statistical Society, Series B, 63, 339-355.
8. Gumpertz, M. L., Graham, J. M., and Ristaino, J. B. (1997), "Autologistic Model of Spatial Pattern of Phytophthora Epidemic in Bell Pepper: Effects of Soil Variables on Disease Presence," Journal of Agricultural, Biological, and Environmental Statistics, 2, 131-156.
9. Guyon, X. (1995), Random Fields on a Network: Modeling, Statistics, and Applications, New York: Springer.
10. Häggström, O., and Nelander, K. (1998), "Exact Sampling from Anti-monotone Systems," Statistica Neerlandica, 52, 360-380.
11. Heikkinen, J., and Högmander, H. (1994), "Fully Bayesian Approach to Image Restoration with an Application in Biogeography," Applied Statistics, 43, 569-582.
12. 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.
13. Huffer, F. W., and Wu, H. (1998), "Markov Chain Monte Carlo for Autologistic Regression Models with Application to the Distribution of Plant Species," Biometrics, 54, 509-524.
14. Møller, J. (1999), "Perfect Simulation of Conditionally Specified Models," Journal of the Royal Statistical Society, Series B, 61, 251-264.
15. Møller, J., Pettitt, A. N., Reeves, R., and Berthelsen, K. K. (2006), "An Efficient Markov Chain Monte Carlo Method for Distribution with Intractable Normalising Constants," Biometrika, 93, 451-458.
16. 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.
17. Roberts, G. O., Gelman, A., and Gilks, W. R. (1997), "Weak Convergence and Optimal Scaling of Random Walk Metropolis Algorithms," The Annals of Applied Probability, 7, 110-120.
18. Sun, L. (2004), "A Bayesian Analysis of Cross-Classified Spatial Data with Autocorrelation," unpublished PhD Thesis, Department of Statistics, University of Wisconsin, Madison, Wisconsin.
19. Wu, H., and Huffer, F. W. (1997), "Modeling the Distribution of Plant Species using the Autologistic Regression Model," Environmental and Ecological Statistics, 4, 31-48.
20. Zhu, J., Huang, H.-C., and Wu, J. (2005), "Modeling Spatial-Temporal Binary Data using Markov Random Fields," Journal of Agricultural, Biological, and Environmental Statistics, 10, 212-225.
21. Zhu, J., Rasmussen, J., Møller, J., Aukema, B., and Raffa, K. (2008), "Spatial-Temporal Modeling of Forest Gaps Generated by Colonization from Below- and Above-Ground Bark Beetle Species," (to appear), Journal of the American Statistical Association.