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

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 ...

We consider a stationary Poisson process X of k-flats in ℝ d with intensity measure Θ and a measurable set S of k-flats depending on F 1 ,..., F n ∈ X, x ∈ ℝ d , and X in a specific equivariant way.

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 ...

In many situations, the arrival rate or service rate is determined by a Poisson process whose parameter varies as a function of time. For example, if the arrival rate to a fast food restaurant varies ...

CATALOG DESCRIPTION: Fundamentals of random variables; mean-squared estimation; limit theorems and convergence; definition of random processes; autocorrelation and stationarity; Gaussian and Poisson ...