English

Generating from the Strauss Process using stitching

Probability 2020-12-17 v1 Data Structures and Algorithms Computation

Abstract

The STrauss process is a point process with unnormalized density with respect to a Poisson point process, where each pair of points within a specified distance rr of each other contributes a factor λ(0,1)\lambda \in (0, 1) to the density. Basic Acceptance Rejection works spectacularly poorly for this problem, which is why several other perfect simulation methods have been developed. these methods, however, also work poorly for reasonably large values of λ\lambda. *Acceptance Rejection Stitching* is a new method that works much faster, allowing the simulation of point processes with values of λ\lambda much larger than ever before.

Keywords

Cite

@article{arxiv.2012.08665,
  title  = {Generating from the Strauss Process using stitching},
  author = {Mark Huber},
  journal= {arXiv preprint arXiv:2012.08665},
  year   = {2020}
}

Comments

16 pages, 3 figures

R2 v1 2026-06-23T21:00:07.499Z