Abstract
The purpose of this chapter is to study the relationships between the stability of different processes, especially between the driving Markov chain and the CSMP and consequently between this driving chain and the PDMP. A large proportion of this work is inspired by Jacod [67]. Steady-sate intensities are also derived and applications are given. No special assumption about the structure of the interarrival distributions is required.
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Cocozza-Thivent, C. (2021). Stability. In: Markov Renewal and Piecewise Deterministic Processes. Probability Theory and Stochastic Modelling, vol 100. Springer, Cham. https://doi.org/10.1007/978-3-030-70447-6_8
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DOI: https://doi.org/10.1007/978-3-030-70447-6_8
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Publisher Name: Springer, Cham
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