Dr. Marie-Colette van Lieshout CWI/UT-SOR

Date: 02 November 2016

Time: 12:45 - 13:30 (Lunch available from 12:35)

Room: RA 1501 (Ravelijn)

Title: Summary statistics for spatial data


The analysis of data in the form of a map of (marked) points often starts with the computation of summary statistics. Some statistics are based on inter-point distances, others on the average number of points in sample regions or on geometric information. Until recently, the usual assumption in the exploratory stage was that the data constitute a realisation of a stationary point process and deviations from a homogeneous Poisson process were studied to suggest a suitable model. Although stationarity is a convenient assumption, especially if - as is often the case - only a single map is available, in many areas of application heterogeneity is present. In this talk, we shall give an overview of statistics that are able to account for heterogeneity and discuss extensions to multivariate point processes as well as random sets and measures.