Abstract
In this paper the author introduces the notion of a modulated marked
random measure, Zξ, on the class of locally compact and σ-compact spaces
with countable bases. As special cases, are marked processes modulated by ξ
are considered where ξ is a semi-Markov or semi-regenerative process. For
either case, the intensities k=limt→∞1tE[Zξ([0,t])] are evaluated in terms of
parameters of ξ. Examples and applications to inventories, queueing processes
and economics are discussed.