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Distance Estimates for Poisson Process Approximations of Dependent Thinnings

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Distance Estimates for Poisson Process Approximations of Dependent Thinnings
2.	Creator	Author's name, affiliation, country	Dominic Schuhmacher; Université Zürich, Switzerland
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)
4.	Description	Abstract	It is well known, that under certain conditions, gradual thinning of a point process on $R^d_+$, accompanied by a contraction of space to compensate for the thinning, leads in the weak limit to a Cox process. In this article, we apply discretization and a result based on Stein's method to give estimates of the Barbour-Brown distance $d_2$ between the distribution of a thinned point process and an approximating Poisson process, and evaluate the estimates in concrete examples. We work in terms of two, somewhat different, thinning models. The main model is based on the usual thinning notion of deleting points independently according to probabilities supplied by a random field. In Section 4, however, we use an alternative thinning model, which can be more straightforward to apply if the thinning is determined by point interactions.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2005-02-28
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/237
10.	Identifier	Digital Object Identifier	10.1214/EJP.v10-237
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 10
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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