Complex behaviour in many systems arises from the stochastic interactions of spatially distributed particles or agents. Stochastic reaction–diffusion processes are widely used to model such behaviour ...

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 ...

Journal of the Royal Statistical Society. Series C (Applied Statistics), Vol. 57, No. 4 (Sep., 2008), pp. 461-471 (11 pages) Data comprising colony counts, or a binary variable representing fertile ...

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.