Perturbed Multi-Alternating Regenerative Processes

Dmitrii Silvestrov
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Dmitrii Silvestrov: Stockholm University, Department of Mathematics

Chapter Chapter 10 in Perturbed Semi-Markov Type Processes II, 2022, pp 187-254 from Springer

Abstract: Abstract In this chapter, we introduce a model of perturbed multi-alternating regenerative processes modulated by regularly or singularly perturbed finite semi-Markov processes (briefly called perturbed multi-alternating regenerative processes). Asymptotic recurrent algorithms of time-space aggregation of regeneration times based on the removal of virtual transitions and reduction of the phase space for modulating semi-Markov processes are described. This chapter consists of three sections.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-92399-0_10

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DOI: 10.1007/978-3-030-92399-0_10

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