A note on expansion for functionals of spatial marked point processes
type: Item
instance of: scholarly article
title: A note on expansion for functionals of spatial marked point processes
zbMATH Open document ID: 0897.60050
DOI: 10.1016/S0167-7152(97)00076-X
author: Ely Merzbach
author: Volker Schmidt
author: Bartlomiej Blaszczyszyn
published in: Statistics \& Probability Letters
publication date: 1998-03-25T00:00:00Z
review text: The authors develop an expansion for the mean value of a rather general functional of a spatial marked point process with respect to the factorial moment measures of the process. Further to the previous results concerning point processes on the real line, this paper extends the technique to point processes in a general Polish space \(E\). The key tool involves a construction of the total order relationship on \(E\), which allows to write down the so-called telescope formula for point processes on \(E\). Examples include expansion of the probability generating functional and the expected clump size in Boolean models of segments.
Mathematics Subject Classification ID: 60G55
Mathematics Subject Classification ID: 60D05
zbMATH DE Number: 1133123
zbMATH Keywords: probability generating functional
zbMATH Keywords: clump size
zbMATH Keywords: moment measure
zbMATH Keywords: factorial expansion
zbMATH Keywords: spatial marked point process
reviewed by: Ilya S. Molchanov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1133123