For Poisson processes taking values in a general metric space, we tackle the problem of supervised classification in two different ways: via the classical k-nearest neighbor rule, by introducing suitable distances between ...

We study non-Markovian stochastic differential equations with additive noise characterized by a Poisson point process with arbitrary pulse shapes and exponentially distributed intensities. Specifically, analytic results ...

A non-homogeneous Poisson process is used to study the rate at which a pollutant's concentration exceeds a given threshold of interest. An anisotropic spatial model is imposed on the parameters of the Poisson intensity ...

Let IaS,a"e (d) be a set of centers chosen according to a Poisson point process in a"e (d) . Let psi be an allocation of a"e (d) to I in the sense of the Gale-Shapley marriage problem, with the additional feature that every ...

Given a Poisson point process on R, assign either one or two marks to each point of this process, independently of the others. We study the motion of a particle that jumps deterministically from its current location to the ...

Let be a sequence of independent and identically distributed random variables, with common absolutely continuous distribution . An observation is a near-record if , where and is a parameter. We analyze the point process ...

In this paper we study the subcritical contact process on Zd for large times, starting with all sites infected. The configuration is described in terms of the macroscopic locations of infected regions in space and the ...

In this paper, we consider some non-homogeneous Poisson models to estimate the probability that an air quality standard is exceeded a given number of times in a time interval of interest. We assume that the number of ...