Estimation of Interaction Potentials of Marked Spatial Point Patterns Through the Maximum Likelihood Method

By Yosihiko Ogata, M. Tanemura. 1985

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Determinantal Point Processes for Machine Learning (2012, methodology): “…pseudolikelihood [Besag, 1977, Besag et al., 1982, Jensen and Moller, 1991, Ripley, 1991], Markov chain Monte Carlo methods [Ripley and Kelly, 1977, Besag and Green, 1993, Häggström et al., 1999, Berthelsen and Møller, 2006], and other approximations [Ogata and Tanemura, 1985, Diggle et al., 1994].”
Non‐ and semi‐parametric estimation of interaction in inhomogeneous point patterns (2000, methodology): “For second-order terms, ö is usually chosen to be translation invariant, while ö 1 for higher-order terms, see Ogata and Tanemura (1986), and Stoyan and Stoyan (1998). Nielsen and Jensen (2000) consider another interesting approach where smooth transformations are applied to homogeneous Markov poi”