Poisson limits for a clustering model of strauss

Publisher Website
Google Scholar
Abstract
In this article we present a limiting result for the random variable Yn (r) which arises in a clustering model of Strauss (1975). The result is that under some sparseness-of-points conditions the process {Yn (r): 0 ≦ r ≦ r ∞} converges weakly to a non-homogeneous Poisson process {Y(r): 0 ≦ r ≦ r ∞} when n → ∞. Simulation results are given to indicate the accuracy of the approximation when n is moderate and applications of the limiting result to tests for clustering are discussed.

This publication has 2 references indexed in Scilit: