Large deviations for Markov-modulated diffusion processes with rapid switching
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DOI: 10.1016/j.spa.2015.12.005
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- Huang, Gang & Mandjes, Michel & Spreij, Peter, 2014. "Weak convergence of Markov-modulated diffusion processes with rapid switching," Statistics & Probability Letters, Elsevier, vol. 86(C), pages 74-79.
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Cited by:
- Blom, Joke & De Turck, Koen & Mandjes, Michel, 2017. "Refined large deviations asymptotics for Markov-modulated infinite-server systems," European Journal of Operational Research, Elsevier, vol. 259(3), pages 1036-1044.
- O. J. Boxma & E. J. Cahen & D. Koops & M. Mandjes, 2019. "Linear Stochastic Fluid Networks: Rare-Event Simulation and Markov Modulation," Methodology and Computing in Applied Probability, Springer, vol. 21(1), pages 125-153, March.
- Florian Simatos & Alain Simonian, 2020. "Mobility can drastically improve the heavy traffic performance from $$\frac{1}{1-\varrho }$$11-ϱ to $$\log (1/(1-\varrho ))$$log(1/(1-ϱ))," Queueing Systems: Theory and Applications, Springer, vol. 95(1), pages 1-28, June.
- Nguyen, Dang Hai & Yin, George & Zhu, Chao, 2017. "Certain properties related to well posedness of switching diffusions," Stochastic Processes and their Applications, Elsevier, vol. 127(10), pages 3135-3158.
- Braunsteins, Peter & Mandjes, Michel, 2023. "The Cramér-Lundberg model with a fluctuating number of clients," Insurance: Mathematics and Economics, Elsevier, vol. 112(C), pages 1-22.
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Keywords
Diffusion processes; Markov modulation; Large deviations; Stochastic exponentials; Occupation measure;All these keywords.
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