平稳各向同性两两相互作用点过程势函数非参数估计的弱相合性和强相合性
Weak and Strong Consistency of non-parametric estimate of potential function for stationary and isotropic pairwise interaction point process
摘要:
提出了平稳各向同性两两相互作用点过程非参数估计的势函数的一种估计方法。考虑了一个对势和对应的Papangelou条件强度之间的关系。在有限程相互作用势下,证明了非参数估计的相合性和强相合性。
英文摘要:
A method is proposed for estimating the potential function of a non-parametric estimator for stationary and isotropic pairwise interaction point process. The relation between a pair potential and the corresponding Papangelou conditional intensity is considered. Consistency and strong consistency of non-parametric estimate are proved in case of finite-range interaction potential.
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