Area-interaction point processes
UNSPECIFIED (1995) Area-interaction point processes. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 47 (4). pp. 601-619. ISSN 0020-3157Full text not available from this repository.
We introduce a new Markov point process that exhibits a range of clustered, random, and ordered patterns according to the value of a scalar parameter. In contrast to pairwise interaction processes, this model has interaction terms of all orders. The likelihood is closely related to the empty space function F, paralleling the relation between the Strauss process and Ripley's K-function. We show that, in complete analogy with pairwise interaction processes, the pseudolikelihood equations for this model are a special case of the Takacs-Fiksel method, and our model is the limit of a sequence of auto-logistic lattice processes.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Journal or Publication Title:||ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS|
|Publisher:||KLUWER ACADEMIC PUBL|
|Number of Pages:||19|
|Page Range:||pp. 601-619|
Actions (login required)