MODELS OF MARKINGS AND THINNINGS OF POISSON PROCESSES

Authors
WALDER O STOYAN D
Citation
O. Walder et D. Stoyan, MODELS OF MARKINGS AND THINNINGS OF POISSON PROCESSES, Statistics, 29(2), 1997, pp. 179-202
Citations number
15
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Statistics → ACNP
ISSN journal
02331888
Volume
29
Issue
2
Year of publication
1997
Pages
179 - 202
Database
ISI
SICI code
0233-1888(1997)29:2<179:MOMATO>2.0.ZU;2-L
Abstract
This paper presents some models of markings and thinnings of Poisson p rocesses. Examples of marks are distances and directions to nearest ne ighbours. The concept of the mark variogram is introduced. Using a sim ple relation between thinned Poisson processes, the second-order produ ct 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 s patial statistics.