Non Parametric Maximum Likelihood Estimation of Features in . . .

Non Parametric Maximum Likelihood Estimation of Features in . . . (1996)

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by Denis Allard , Chris Fraley

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@MISC{Allard96nonparametric,
    author = {Denis Allard and Chris Fraley},
    title = {Non Parametric Maximum Likelihood Estimation of Features in . . . },
    year = {1996}
}

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Abstract

This paper addresses the problem of estimating the support domain of a bounded point process in presence of background noise. This situation occurs for example in the detection of a mine field from aerial observations. A Maximum Likelihood Estimator for a mixture of uniform point processes is derived using a natural partition of the space defined by the data themselves: the Voronoï tessellation. The methodology is tested on simulations and compared to a model-based clustering technique.

Citations

1568	Density Estimation for Statistics and Data Analysis - Silverman - 1986
353	Spatial tessellations: Concepts and Applications of Voronoi diagrams - Okabe, Boots, et al. - 2000
345	Stochastic Simulation - Ripley - 1987
253	Raftery A: Model-based Gaussian and non-Gaussian clustering. Biometrics - Banfield - 1993
176	Statistical analysis of spatial point patterns by means of distance methods. Biometrics - Diggle, Besng, et al. - 1976
166	An Introduction to Applied Geostatistics - Isaaks, RM - 1989
85	Partial likelihood - Cox - 1975
82	A classification EM algorithm for clustering and two stochastic versions - Celleux, Govaert - 1992
20	Statistics for spatial data(eds.). Wiley-Interscience - Cressie - 1993
20	Model-based Gaussian and non-Gaussian clustering, Biometrics 49: 803–821 - eld, D, et al. - 1993
15	Image Analysis and Mathematical Morphology I and II - Serra - 1983
13	Graph morphology - Heijmans, Nacken, et al. - 1990
9	Monte Carlo estimates of the distributions of the random polygons determined by random lines in the plane - Crain, Miles - 1976
7	Finding the edge of a Poisson forest - Ripley - 1977
6	L.: Graph morphology in image analysis - Heijmans, Vincent - 1992
4	A classi cation EM algorithm for clustering and two stochastic versions - Celeux, Govaert - 1992
3	The estimation of the location of a discontinuity in density - Chernoff, Rubin - 1954
1	Estimation of an Arbitrary Mixture of Uniform Models,"Metron - Gupta, Taneja, et al. - 1986
1	Lectures on random Vorono tesselations - ller, J - 1994
1	The Estimation of the Location of a Discontinuity - H, Rubin - 1954