Extreme value theory (EVT) deals with extreme (rare) events. Such events/variables are
often reported as outliers. In some textbooks one can find recommendations to remove …

Palindromes are symmetrical words of DNA in the sense that they read exactly the same as
their reverse complementary sequences. Representing the occurrences of palindromes in a …

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 …

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 …

In this paper we give a historical account of the development of Poisson approximation
using Stein's method and present some of the main results. We give two recent applications …

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 paper is concerned with the accuracy in total variation of the approximation of the
distribution of a sum of independent Bernoulli distributed random d-vectors by the product …

Although the study of weak convergence of superpositions of point processes to the Poisson
process dates back to the work of Grigelionis in 1963, it was only recently that Schuhmacher …

We consider a stable open queuing network as a steady non-equilibrium system of
interacting particles. The network is completely specified by its underlying graphical …