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Theory of semiregenerative phenomena

Published online by Cambridge University Press:  14 July 2016

N. U. Prabhu
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Abstract

We develop a theory of semiregenerative phenomena. These may be viewed as a family of linked regenerative phenomena, for which Kingman [6], [7] developed a theory within the framework of quasi-Markov chains. We use a different approach and explore the correspondence between semiregenerative sets and the range of a Markov subordinator with a unit drift (or a Markov renewal process in the discrete-time case). We use techniques based on results from Markov renewal theory.

Keywords

SEMIREGENERATIVE PHENOMENA AND SETSLINKED REGENERATIVE PHENOMENA: QUASI-MARKOV CHAINSSTANDARD PHENOMENASTABLE STATESLIFETIMEMARKOV RENEWAL PROCESSESMARKOV ADDITIVE PROCESSES
Type
Part 6 - The Analysis of Stochastic Phenomena
Information
Journal of Applied Probability , Volume 25 , Issue A , 1988 , pp. 257 - 274
Copyright
Copyright © Applied Probability Trust 1988 

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