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Measure-branching renewal processes

Consider a generalized renewal process where elements are replaced by a random number of new elements. The corresponding generalization of the residual lifetime at t is a random measure [mu]t(du) on [0, [infinity]). The measure-valued process {[mu]t(du), t >= 0} is a homogeneous Markov process. We obtain a measure-branching approximation for {n-1 [mu]Tt(T du), t >= 0} as n --> [infinity] and T = T(n) --> [infinity].
Year of publication:
1994
Authors: Sagitov, Serik
Published in:
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 52.1994, 2, p. 293-307
Publisher: Elsevier
Keywords: General branching process Immigration Residual lifetime Measure-branching process
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Type of publication: Article
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Persistent link: https://www.econbiz.de/10008873708
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