Super-Long and Long Time Ergodic Theorems for Singularly Perturbed Alternating Regenerative Processes

Dmitrii Silvestrov
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Dmitrii Silvestrov: Stockholm University, Department of Mathematics

Chapter Chapter 6 in Perturbed Semi-Markov Type Processes II, 2022, pp 107-134 from Springer

Abstract: Abstract In this chapter, we present super-long and long time ergodic theorems for perturbed alternating regenerative processes modulating by singularly perturbed two-state semi-Markov processes (shortly referred as singularly perturbed alternating regenerative processes). Process singularly perturbed alternating regenerative This is the case, where both regime switching probabilities for perturbed modulating semi-Markov processes are positive but converge to zero, as ε → 0. This chapter includes three sections.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-92399-0_6

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DOI: 10.1007/978-3-030-92399-0_6

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