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.

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.

We present some non-stationary infinite-server queueing systems with stationary Poisson departure processes. In Foley (1982), it was shown that the departure process from the Mt / Gt /∞ queue was a ...