We have been developing methods for detecting features in spatial point processes such as earthquakes, minefields and plants. Methods based on model-based clustering including a uniform noise process have been quite successful (Stanford and Raftery 2000; Dasgupta and Raftery 1998; Murtagh and Raftery 1984). Mixture models more generally have worked well for this class of problems, including distinguishing between them using partial Bayes factors (Walsh and Raftery 2005), nearest neighbor cleaning (Byers and Raftery 1998), and explicit Bayesian modeling using Markov chain Monte Carlo (Byers and Raftery 2002, Walsh and Raftery 2002).
Berrocal, V.J., Raftery, A.E. and Gneiting, T. (2008). Probabilistic quantitative precipitation field forecasting using a two-stage spatial model. Annals of Applied Statistics 2: 1170-1193.
Berrocal, V., Raftery, A.E. and Gneiting, T. (2007). Combining Spatial Statistical and Ensemble Information in Probabilistic Weather Forecasts. Monthly Weather Review, 135, 1386-1402.
Fuentes, M. and Raftery, A.E. (2005). Model evaluation and spatial interpolation by Bayesian combination of observations with outputs from numerical models. Biometrics, 66, 36--45.
Walsh, D.C.I. and Raftery, A.E. (2005). Classification of mixtures of spatial point processes via partial Bayes factors. Journal of Computational and Graphical Statistics, 14, 139-154.
Gel, Y., Raftery, A.E. and Gneiting, T. (2004).
mesoscale weather field forecasting: The Geostatistical Output Perturbation
(GOP) method (with Discussion).
Journal of the American Statistical Association, 99, 575-590.
Earlier technical report version with color figures.
Byers, S.D. and Raftery, A.E. (2002). Bayesian Estimation and Segmentation of Spatial Point Processes using Voronoi Tilings. In Spatial Cluster Modelling (A.G. Lawson and D. G.T. Denison, eds.), London: Chapman and Hall/CRC Press. Earlier technical report version. (Postscript).
Walsh, D.C.I and Raftery, A.E. (2002). Detecting mines in minefields with linear characteristics. Technometrics, 44, 34-44.
Stanford, D.C. and Raftery, A.E. (2000). Principal curve clustering with noise. IEEE Transactions on Pattern Analysis and Machine Analysis, 22, 601-609.
Byers, S.D. and Raftery, A.E. (1998). Nearest neighbor clutter removal for estimating features in spatial point processes. Journal of the American Statistical Association, 93, 577-584.
Dasgupta, A. and Raftery, A.E. (1998). Detecting features in spatial point processes with clutter via model-based clustering. Journal of the American Statistical Association, 93, 294-302.
Raftery, A.E. (1994). Change point and change curve modeling in stochastic processes and spatial statistics. Journal of Applied Statistical Science, 1, 403-424. Earlier technical report version.
Taplin, R.H. and Raftery, A.E. (1994). Analysis of agricultural field trials in the presence of outliers and fertility jumps. Biometrics, 50, 764-781.
Haslett, J. and Raftery, A.E. (1989). Space-time modelling with long-memory dependence: Assessing Ireland's wind power resource (with Discussion). Journal of the Royal Statistical Society, series C - Applied Statistics, 38, 1-50.
Murtagh, F. and Raftery, A.E. (1984). Fitting straight lines to point patterns. Pattern Recognition, 17, 479-483.
Raftery, A.E., Haslett, J. and McColl, E. (1982). Wind power: a space-time process? In Time series analysis: theory and practice 2 (O.D. Anderson, ed.), North-Holland, pp. 191-202.
Fuchs, C., Broniatowski, M. and Raftery, A.E. (1981). Etude de la division cellulaire dans le meristeme plan de la feuille du Tropaeolum peregrinum L. I. La distribution des mitoses dans une zone reduite de panenchyme pallisadique releve-t-elle du hasard? Comptes rendus de l'Academie des Sciences de Paris, serie III, 292, 347-352.
Fuchs, C., Broniatowski, M. and Raftery, A.E. (1981). Etude de la division cellulaire dans le meristeme plan de la feuille de Tropaeolum peregrinum L. II. Structures presentees par la distribution des mitoses. Comptes rendus de l'Academie des Sciences de Paris, serie III, 292, 385-387.
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Updated May 2, 2013
Copyright 2005-2013 by Adrian E. Raftery; all rights reserved.