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 dependence. A general ...

Using the characterization of point processes having the order statistic property we prove that the only renewal process that has the order statistic property is the Poisson process. Journal ...

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.