论文标题
$ k $的全球强度剥离估计器和配对相关功能
Globally intensity-reweighted estimators for $K$- and pair correlation functions
论文作者
论文摘要
我们介绍了不均匀的$ k $功能的新估计值以及空间点过程的配对相关函数，以及在二阶强度加强型培养基的假设下，二元空间点过程的交叉$ k $功能以及跨对空间点过程的交叉对相关函数。这些估计器依赖于“全局”归一化因子，该因子取决于强度函数的聚集，而现有估计器则“局部”依赖于单个观察到的点处的强度函数。理论上的考虑和模拟研究证明了我们新的全球估计器比现有本地估计器的优势。
We introduce new estimators of the inhomogeneous $K$-function and the pair correlation function of a spatial point process as well as the cross $K$-function and the cross pair correlation function of a bivariate spatial point process under the assumption of second-order intensity-reweighted stationarity. These estimators rely on a 'global' normalization factor which depends on an aggregation of the intensity function, whilst the existing estimators depend 'locally' on the intensity function at the individual observed points. The advantages of our new global estimators over the existing local estimators are demonstrated by theoretical considerations and a simulation study.
