Lecture Notes-Monograph Series, Vol. 52, Time Series and Related Topics: In Memory of Ching-Zong Wei (2006), pp. 236-244 (9 pages) This exposition explains the basic ideas of Stein's method for ...

Fractional Poisson processes represent an innovative extension of the classical Poisson process, wherein the interarrival times follow heavy-tailed distributions often characterised by the ...

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.

Neurons transmit information with sequences of action potentials. These responses are variable—repeated measurements under identical experimental conditions give different spike trains—but the origins ...

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 ...