The cylindrical $K$-function and Poisson line cluster point processes
柱形 K 函数与泊松直线聚类点过程
The analysis of point patterns with linear structures is of interest in many applications. To detect anisotropy in such patterns, in particular in the case of a columnar structure, we introduce a functional summary statistic, the cylindrical |$K$|-function, which is a directional |$K$|-function whose structuring element is a cylinder. We further introduce a class of anisotropic Cox point processes, called Poisson line cluster point processes. The points of such a process are…