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A Journal of Theoretical and Applied Statistics
Volume 17, 1986 - Issue 3
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Original Articles

Estimator for the pair–potential of a gibbsian point process

R. Takacs Universitat Linz, Altenbergerstr. 69, Linz, A 4040, Osterreich
Pages 429-433 | Received 01 Feb 1985, Published online: 27 Jun 2007

Citations (17)

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Read on this site (2)

M. N. M. van Lieshout & I. S. Molchanov. (1998) Shot noise weighted processes: a new family of spatial point processes. Communications in Statistics. Stochastic Models 14:3, pages 715-734.
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Jean-Michel Billiot. (1997) Asymptotic Properties of Takacs-Fiksel Estimation Method for GIBBS Point Processes. Statistics 30:1, pages 69-89.
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Articles from other publishers (15)

Ismaïla BaJean-François Coeurjolly & Francisco Cuevas-Pacheco. (2023) Pairwise interaction function estimation of stationary Gibbs point processes using basis expansion. The Annals of Statistics 51:3.
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David Dereudre. 2019. Stochastic Geometry. Stochastic Geometry 181 229 .
Ba-Ngu Vo, Nhan Dam, Dinh Phung, Quang N. Tran & Ba-Tuong Vo. (2018) Model-based learning for point pattern data. Pattern Recognition 84, pages 136-151.
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Adina Iftimi, Marie-Colette van Lieshout & Francisco Montes. (2018) A multi-scale area-interaction model for spatio-temporal point patterns. Spatial Statistics 26, pages 38-55.
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Jesper MøllerRasmus Waagepetersen. (2017) Some Recent Developments in Statistics for Spatial Point Patterns. Annual Review of Statistics and Its Application 4:1, pages 317-342.
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Jean-François Coeurjolly, Yongtao Guan, Mahdieh Khanmohammadi & Rasmus Waagepetersen. (2016) Towards optimal Takacs–Fiksel estimation. Spatial Statistics 18, pages 396-411.
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Yu Ryan YueJi Meng Loh. (2015) Variable selection for inhomogeneous spatial point process models. Canadian Journal of Statistics 43:2, pages 288-305.
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Adrian Baddeley & David Dereudre. (2013) Variational estimators for the parameters of Gibbs point process models. Bernoulli 19:3, pages 905-930.
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Matthew A. Bognar. (2007) Bayesian modeling of continuously marked spatial point patterns. Computational Statistics 23:3, pages 361-379.
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JESPER MØLLER & RASMUS P. WAAGEPETERSEN. (2007) Modern Statistics for Spatial Point Processes. Scandinavian Journal of Statistics 0:0, pages 070927154002001-???.
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W. S. Kendall, M. N. M. van Lieshout & A. J. Baddeley. (2016) Quermass-interaction processes: conditions for stability. Advances in Applied Probability 31:2, pages 315-342.
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M. N. M. van Lieshout & A. J. Baddeley. (2008) A nonparametric measure of spatial interaction in point patterns. Statistica Neerlandica 50:3, pages 344-361.
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A. J. Baddeley & M. N. M. van Lieshout. (1995) Area-interaction point processes. Annals of the Institute of Statistical Mathematics 47:4, pages 601-619.
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Noel A. C. Cressie. 1993. Statistics for Spatial Data. Statistics for Spatial Data 803 872 .
Shigeru Mase. (1992) Uniform LAN condition of planar Gibbsian point processes and optimality of maximum likelihood estimators of soft-core potential functions. Probability Theory and Related Fields 92:1, pages 51-67.
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