Bonetti Marco, Pagano Marcello
Department of Biostatistics, Harvard School of Public Health, Boston, MA 02115, USA.
Stat Med. 2005 Mar 15;24(5):753-73. doi: 10.1002/sim.1947.
The topic of this paper is the distribution of the distance between two points distributed independently in space. We illustrate the use of this interpoint distance distribution to describe the characteristics of a set of points within some fixed region. The properties of its sample version, and thus the inference about this function, are discussed both in the discrete and in the continuous setting. We illustrate its use in the detection of spatial clustering by application to a well-known leukaemia data set, and report on the results of a simulation experiment designed to study the power characteristics of the methods within that study region and in an artificial homogenous setting.
本文的主题是空间中独立分布的两点之间距离的分布。我们阐述了使用这种点间距离分布来描述某个固定区域内一组点的特征。在离散和连续情形下，都讨论了其样本版本的性质，以及由此对该函数的推断。我们通过将其应用于一个著名的白血病数据集来说明它在空间聚类检测中的用途，并报告一个模拟实验的结果，该实验旨在研究该方法在那个研究区域以及人工均匀环境中的功效特征。
