ON PARAMETER-ESTIMATION FOR PAIRWISE INTERACTION POINT-PROCESSES

Citation
Pj. Diggle et al., ON PARAMETER-ESTIMATION FOR PAIRWISE INTERACTION POINT-PROCESSES, International statistical review, 62(1), 1994, pp. 99-117
Citations number
39
Categorie Soggetti
Statistic & Probability","Statistic & Probability
ISSN journal
03067734
Volume
62
Issue
1
Year of publication
1994
Pages
99 - 117
Database
ISI
SICI code
0306-7734(1994)62:1<99:OPFPIP>2.0.ZU;2-5
Abstract
Pairwise interaction point processes form a useful class of models for spatial point patterns, especially patterns for which the spatial dis tribution of points is more regular than for a homogeneous planar Pois son process. Several authors have proposed methods for estimating the parameters of a pairwise interaction point process. However, there app ears to be no general theory which provides grounds for preferring a p articular method, nor have any extensive empirical comparisons been pu blished. In this paper, we review three general methods of estimation which have been proposed in the literature and present the results of a comparative simulation study of the three methods.