Nonparametric maximum likelihood estimation of features in spatial point processes using voronoï tessellation

Journal of the American Statistical Association

Volumn 92, Issue 440, 1997, Pages 1485-1493

  Allard, Denis ^a,b   Fraley, Chris ^b  

^a CEMAGREF   (France)

^b UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Boundary estimation; Minefield detection; Mixture; Poisson process; Seismic faults; Uniform distribution

Indexed keywords

EID: 0031321071     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1997.10473670     Document Type: Article

References (16)

1. Banfield, J. D., and Raftery, A. E.(1993), "Model-Based Gaussian and non-Gaussian Clustering,"Biometrics, 49, 803-821.
2. Celeux, G., and Govaert, G.(1992), "A Classification EM Algorithm for Clustering and Two Stochastic Versions,"Computational Statistics and Data Analysis, 14, 315-332.
3. Chernoff, H., and Rubin, H.(1954), "The Estimation of the Location of a Discontinuity in Density," in Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, Berkeley, CA: University of California Press, pp. 19-37.
4. Cressie, N.(1993), Statistics for Spatial Data, New York: Wiley.
5. Diggle, P. J.(1983), Statistical Analysis of Spatial Point Patterns, New York: Academic Press.
6. Gupta, A. K, Taneja, V. S., and Janardan, K G.(1986), "Estimation of an Arbitrary Mixture of Uniform Models,"Metron, 44, 247-256.
7. Heijmans, H. J. A. M., and Vincent, L.(1993), "Graph Morphology in Image Analysis," in Mathematical Morphology in Image Processing, ed. E. R. Dougherty, New York: Marcel Dekker, pp. 171-203.
8. Hinde, A. L., and Miles, R. E.(1980), "Monte Carlo Estimates of the Distributions of the Random Polygons of the Voronoi Tessellation With Respect to a Poisson Process,"Journal of Statistical Computation and Simulation, 10, 205-223.
9. Isaaks, E. H., and Srivastava, R. M.(1989), An Introduction to Applied Geostatistics, Oxford, U.K: Oxford University Press.
10. McKenzie, M., Miller, R., and Uhrhammer, R.(1982), Bulletin of the Seismological Stations, University of California-Berkeley, 53, 1-2.
11. Meller, J.(1994), Lectures on Random Voronoi' Tessellations, New York: Springer-Verlag.
12. Okabe, A., Boots, B., and Sugihara, K(1992), Spatial Tessellations. Concepts and Applications of Voronoi' Diagrams, New York: Wiley.
13. Ripley, B. D.(1987), Stochastic Simulation, New York: Wiley.
14. Ripley, B. D., and Rasson, J. P.(1977), "Finding the Edge of a Poisson Forest,"Journal of Applied Probability, 14,483-491.
15. Serra, J. (Ed.)(1988), Image Analysis and Mathematical Morphology II: Theoretical Advances, New York: Academic Press.
16. Silverman, B.(1986), Density Estimation for Statistics and Data Analysis, London: Chapman and Hall.