Upper bounds for spatial point process approximations

Details Upper bounds for spatial point process approximations Upper bounds for spatial point process approximations

2005-03-23

arxiv.org/abs/math/0503491v1

Annals of Applied Probability 2005, Vol. 15, No. 1B, 615-651

Mathematics

Probability

Published at http://dx.doi.org/10.1214/105051604000000684 in the Annals of Applied Probability (http://www.imstat.org/aap/) by

Scientific paper

10.1214/105051604000000684

We consider the behavior of spatial point processes when subjected to a class of linear transformations indexed by a variable T. It was shown in Ellis [Adv. in Appl. Probab. 18 (1986) 646-659] that, under mild assumptions, the transformed processes behave approximately like Poisson processes for large T. In this article, under very similar assumptions, explicit upper bounds are given for the d_2-distance between the corresponding point process distributions. A number of related results, and applications to kernel density estimation and long range dependence testing are also presented. The main results are proved by applying a generalized Stein-Chen method to discretized versions of the point processes.

Affiliated with

Also associated with

No associations

Rating

Upper bounds for spatial point process approximations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Upper bounds for spatial point process approximations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Upper bounds for spatial point process approximations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-135136