On modulated random measures

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

[学科分类] 应用数学