We consider the uncovered set (i.e. the complement of the union of growing random intervals) in the one-dimensional Johnson-Mehl model. Let S(z, L) be the number of components of this set at time z > ...

This is a preview. Log in through your library . Abstract Let $\{X_{n,j}: j = 1, \cdots, n, n \geqslant 1\}$ be an array of nonnegative random variables in which each row forms a (finite) stationary ...

I will discuss (compound) Poisson process approximation for stabilizing statistics of a stationary strongly mixing point process. The main results are formulated in a Wasserstein distance and are ...

This paper presents new results on the nonhomogeneous bivariate compound Poisson process with a short-term periodic intensity function. The dependence between margins is modeled using the Lévy copula.