This is a survey paper on Poisson approximation using Stein's method of exchangeable
pairs. We illustrate using Poisson-binomial trials and many variations on three classical …

We consider the extremes of the logarithm of the characteristic polynomial of matrices from
the CE ensemble. We prove convergence in distribution of the centered maxima (of the real …

Barbour introduced a probabilistic view of Stein's method for estimating the error in
probability approximations. However, in the case of approximations by general distributions …

A Poisson or a binomial process on an abstract state space and a symmetric function $ f $
acting on $ k $-tuples of its points are considered. They induce a point process on the target …

Most metrics between finite point measures currently used in the literature have the flaw that
they do not treat differing total masses in an adequate manner for applications. This paper …

We consider the point process of signal strengths from transmitters in a wireless network
observed from a fixed position under models with general signal path loss and random …

The framework of Stein's method for Poisson process approximation is presented from the
point of view of Palm theory, which is used to construct Stein identities and define local …

This paper presents Stein's method from both a concrete and an abstract point of view. A
proof of the Berry-Esseen theorem using the method is given. Two approaches to the …

The chapter begins with an introduction to Poisson processes on the real line and then to
Poisson point processes on a locally compact complete separable metric space. The focus …

The main result of the paper is a refinement of **a's (1997) bound on the Kantorovich
distance between distributions of a Bernoulli point process and an approximating Poisson …