论文信息 - Estimator for the pair–potential of a gibbsian point process - 字舞流文

Estimator for the pair–potential of a gibbsian point process

A pointconfiguration is supposed to be from a homogeneous Gibbsian point process with a pair–potential with finite range. The pair–potential is of the form of a step–fimction. An estimator for this pair–potential is derived

[1] Johannes Kerstan,et al. Unbegrenzt teilbare Punktprozesse , 1974 .

[2] B. Ripley. Modelling Spatial Patterns , 1977 .

[3] Time reversible and Gibbsian point processes I. Markovian spatial birth and death processes on a general phase space , 1981 .

[4] Y. Ogata,et al. Estimation of interaction potentials of spatial point patterns through the maximum likelihood procedure , 1981 .

[5] Time reversible and Gibbsian point processes, II. Markovian particle jump processes on a general phase space , 1982 .

[6] Remarks on statistical inference and prediction for a hard-core clustering model , 1983 .

[7] Thomas Fiksel,et al. Estimation of Parametrized Pair Potentials of Marked and Non-marked Gibbsian Point Processes , 1984, J. Inf. Process. Cybern..

[8] R. Takacs,et al. Interaction Pair-potentials for a System of Ant's Nests , 1986 .