A composite likelihood approach in fitting spatial point process models

Journal of the American Statistical Association

Volumn 101, Issue 476, 2006, Pages 1502-1512

  Guan, Yongtao ^a  

^a YALE UNIVERSITY   (United States)

Author keywords

Composite likelihood; Spatial point process

Indexed keywords

EID: 33846092776     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214506000000500     Document Type: Article

References (29)

1. Baddeley, A., and Turner, R. (2000), "Practical Maximum Pseudolikelihood for Spatial Point Patterns," The Australian and New Zealand Journal of Statistics, 42, 283-315.
2. Besag, J. E. (1974), "Spatial Interaction and the Statistical Analysis of Lattice Systems" (with discussion), Journal of the Royal Statistical Society, Ser. B, 36, 196-236.
3. Cox, D. R., and Reid, N. (2004), "A Note on Pseudolikelihood Constructed From Marginal Densities," Biometrika, 91, 729-737.
4. Cressie, N. A. C. (1993), Statistics for Spatial Data, New York: Wiley.
5. Crowder, M. J. (1986), "On Consistency and Inconsistency of Estimating Equations," Econometric Theory, 2, 305-330.
6. Daley, D. J., and Vere-Jones, D. (1988), An Introduction to the Theory of Point Processes, New York: Springer-Verlag.
7. Diggle, P. J. (2003), Statistical Analysis of Spatial Point Patterns, New York: Oxford University Press.
8. Doukhan, P. (1994), Mixing: Properties and Examples. New York: Springer-Verlag.
9. Glasbey, C. A. (2001), "Non-Linear Autoregressive Time Series With Multivariate Gaussian Mixtures as Marginal Distributions," Applied Statistics, 50, 143-154.
10. Guan, Y., Sherman, M., and Calvin, J. A. (2004), "A Nonparametric Test for Spatial Isotropy Using Subsampling," Journal of the American Statistical Association, 99, 810-821.
11. Heagerty, P. J., and Lele, S. R. (1998), "A Composite Likelihood Approach to Binary Spatial Data," Journal of the American Statistical Association, 93, 1099-1111.
12. Heagerty, P. J., and Lumley, T. (2000), "Window Subsampling of Estimating Functions With Application to Regression Models," Journal of the American Statistical Association, 95, 197-211.
13. Heinrich, L. (1988), "Asymptotic Gaussianity of Some Estimators for Reduced Factorial Moment Measures and Product Densities of Stationary Poisson Cluster Processes," Statistics, 19, 87-106.
14. _ (1992), "Minimum Contrast Estimates for Parameters of Spatial Ergodic Point Processes," Transactions of the 11th Prague Conference on Random Processes, Information Theory and Statistical Decision Functions, August 27-31, Prague: Academic Publishing House, pp. 479-492.
15. Hjort, N. L., and Mohn, E. (1987), "Topics in the Statistical Analysis of Remotely Sensed Data" (with discussion), Bulletins of the International Statistical Institute, 52, 23-44.
16. Hjort, N. L., and Omre, H. (1994), "Topics in Spatial Statistics" (with discussion), Scandinavian Journal of Statistics, 21, 289-357.
17. Jolivet, E. (1981), "Central Limit Theorem and Convergence of Empirical Processes for Stationary Point Processes," in Colloquia Mathematica Socitatis Janos Bolyai 24, Point Processes and Queuing Problems, Keszthely, Hungary, pp. 117-161.
18. Kuuluvainen, T., Penttinen, A., Leinonen, K., and Nygren, M. (1996), "Statistical Opportunities for Comparing Stand Structural Heterogeneity in Managed and Primeval Forests: An Example From Boreal Spruce Forest in Southern Finland," Silvia Fennica, 30, 315-328.
19. Lindsay, B. G. (1988), "Composite Likelihood Methods," Contemporary Mathematics, 80, 221-239.
20. Møller, J., Syversveen, A. R., and Waagepetersen, R. P. (1998), "Log Gaussian Cox Processes," Scandinavian Journal of Statistics, 25, 451-482.
21. Møller, J., and Waagepetersen, R. P. (2004), Statistical Inference and Simulation for Spatial Point Processes, New York: Chapman & Hall.
22. Nott, D. J., and Rydén, T. (1999), "Pairwise Likelihood Methods for Inference in Image Models," Biometrika, 86, 661-676.
23. Politis, D. N., and Sherman, M. (2001), "Moment Estimation for Statistics From Marked Point Processes," Journal of the Royal Statistical Society, Ser. B, 63, 261-275.
24. Ripley, B. D. (1988), Statistical Inference for Spatial Processes, New York: Cambridge University Press.
25. Rosenblatt, M. (1956), "A Central Limit Theorem and a Strong Mixing Condition," Proceedings of the National Academy of Sciences, 42, 43-47.
26. Schlather, M. (2001), "Simulation and Analysis of Random Fields," R News, 1/2, 18-20.
27. Stoyan, D., and Stoyan, H. (1994), Fractals, Random Shapes and Point Fields, New York: Wiley.
28. _ (1996), "Estimating Pair Correlation Functions of Planar Cluster Processes," Biometrical Journal, 38, 259-271.
29. Varin, C., Høst, G., and Skare, Ø. (2005), "Pairwise Likelihood Inference in Spatial Generalized Linear Mixed Models," Computational Statistics and Data Analysis, 49, 1173-1191.