On modulated random measures

On modulated random measures

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Article ID: iaor19932364
Country: United States
Volume: 4
Issue: 4
Start Page Number: 305
End Page Number: 312
Publication Date: Dec 1991
Journal: Journal of Applied Mathematics and Stochastic Analysis
Authors:
Abstract:

In this paper the author introduces the notion of a modulated marked random measure, equ1, 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 equ2are evaluated in terms of parameters of ξ. Examples and applications to inventories, queuing processes and economics are discussed.

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