Detecting dependence between marks and locations of marked point processes

• 成果类型: Article
• 署名作者: Schlather, M; Ribeiro, PJ Jr; Diggle, PJ
• 署名单位: University of Bayreuth; Universidade Federal do Parana; Lancaster University
• 刊物名称: JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY
• ISSN/ISSBN: 1369-7412
• DOI: 10.1046/j.1369-7412.2003.05343.x
• 发表日期: 2004
• 页码: 79-93
• 关键词: variograms; covariance; increment

摘要

We introduce two characteristics for stationary and isotropic marked point proces- ses, E(h) and V(h), and describe their use in investigating mark-point interactions. These quantities are functions of the interpoint distance h and denote the conditional expectation and the conditional variance of a mark respectively, given that there is a further point of the process a distance h away. We present tests based on E and V for the hypothesis that the values of the marks can be modelled by a random field which is independent of the unmarked point process. We apply the methods to two data sets in forestry.