Large deviations for the empirical measure and empirical flow of Markov renewal processes with a countable state space-Reference-Cited by-同舟云学术

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Large deviations for the empirical measure and empirical flow of Markov renewal processes with a countable state space

Published:2024-01-01 Issue:none Volume:29 Page:
ISSN:1083-6489
Container-title:Electronic Journal of Probability
language:
Short-container-title:Electron. J. Probab.

Author:

Jia Chen¹,Jiang Da-Quan²,Wu Bingjie³

Affiliation:

1. Applied and Computational Mathematics Division, Beijing Computational Science Research Center, Beijing, China

2. LMAM, School of Mathematical Sciences, Peking University, Beijing, China. Center for Statistical Science, Peking University, Beijing, China

3. Applied and Computational Mathematics Division, Beijing Computational Science Research Center, Beijing, China. LMAM, School of Mathematical Sciences, Peking University, Beijing, China

Publisher

Institute of Mathematical Statistics

Reference43 articles.

1. David Andrieux and Pierre Gaspard, Fluctuation theorem for currents and Schnakenberg network theory, J. Stat. Phys. 127 (2007), no. 1, 107–131.

2. David Andrieux and Pierre Gaspard, The fluctuation theorem for currents in semi-Markov processes, J. Stat. Mech.: Theory Exp. 2008 (2008), no. 11, P11007.

3. Soeren Asmussen, Applied probability and queues, 2 ed., vol. 51, Springer, New York, 2003.

4. Srinivasan Balaji and Sean P. Meyn, Multiplicative ergodicity and large deviations for an irreducible Markov chain, Stoch. Proc. Appl. 90 (2000), no. 1, 123–144.

5. Giada Basile and Lorenzo Bertini, Donsker-Varadhan asymptotics for degenerate jump Markov processes, ALEA Lat. Am. J. Probab. Math. Stat. 12 (2015), no. 1, 1–23.

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