On parameter estimation for pairwise interaction point processes
On parameter estimation for pairwise interaction point processes
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DOI：
10.2307/1403548
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发表时间：
1994-04
影响因子：
2
通讯作者：
P. Diggle;T. Fiksel;P. Grabarnik;Y. Ogata;D. Stoyan;M. Tanemura
中科院分区：
文献类型：
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作者：
P. Diggle;T. Fiksel;P. Grabarnik;Y. Ogata;D. Stoyan;M. Tanemura
成对相互作用点过程形成了一类有用的空间点模式模型，特别是点的空间分布比齐次平面泊松过程更规则的模式。一些作者提出了估计两两相互作用点过程参数的方法。然而，似乎没有一般的理论，提供了理由，更喜欢一个特定的方法，也没有任何广泛的实证比较发表。在本文中，我们回顾了三个一般的估计方法，已在文献中提出的，并提出了比较模拟研究的结果，这三种方法。
Summary Pairwise interaction point processes form a useful class of models for spatial point patterns, especially patterns for which the spatial distribution of points is more regular than for a homogeneous planar Poisson process. Several authors have proposed methods for estimating the parameters of a pairwise interaction point process. However, there appears to be no general theory which provides grounds for preferring a particular method, nor have any extensive empirical comparisons been published. 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.