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Models of markings and thinnings of poisson processes

 

作者: O. Wälder,   D. Stoyan,  

 

期刊: Statistics  （Taylor Available online 1997）
卷期: Volume 29, issue 2  

页码: 179-202

 

ISSN:0233-1888

 

年代: 1997

 

DOI:10.1080/02331889708802582

 

出版商: Gordon & Breach Science Publishers

 

关键词: AMS 1980 Subject Classifications;60G55;62H11;Cluster process;mark;matern;hard core process;point process;second-order characteristic;thinning;variogram

 

数据来源: Taylor

 

摘要:

This paper presents some models of markings and thinnings of Poisson processes. Examples of marks are distances and directions to nearest neighbours. The concept of the mark variogram is introduced. Using a simple relation between thinned Poisson processes, the second-order product density of that cluster process is given which is complementary to Matern’s hard core process. An example shows that it is of value for spatial statistics.

 

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