Document Type

Article

Publication Title

Journal of Applied Mathematics and Stochastic Analysis

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.

First Page

305

Last Page

312

DOI

10.1155/S1048953391000230

Publication Date

1991

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