Large and moderate deviations for record numbers in some non–nearest neighbor random walks-Reference-Cited by-同舟云学术

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Large and moderate deviations for record numbers in some non–nearest neighbor random walks

Published:2022-01-01 Issue:none Volume:27 Page:
ISSN:1083-589X
Container-title:Electronic Communications in Probability
language:
Short-container-title:Electron. Commun. Probab.

Author:

Li Yuqiang¹,Yao Qiang²

Affiliation:

1. Key Laboratory of Advanced Theory and Application in Statistics and Data Science–MOE, School of Statistics, East China Normal University

2. Key Laboratory of Advanced Theory and Application in Statistics and Data Science–MOE, School of Statistics, East China Normal University and NYU–ECNU Institute of Mathematical Sciences at NYU Shanghai

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference21 articles.

1. Borovkov, A. and Mogulskii, A. Large deviation principles for trajectories of compound renewal processes. I, II. Theory, Probab, Appl. 2015, 60: 207–224, 349–366.

2. Chaumont, L. and Doney, R. A. Invariance principles for local times at the supremum of random walks and Lévy processes, Ann. Probab. 2010, 38: 1368–1389.

3. Chen, X. Moderate deviations for Markovian occupation times. Stoch. Proc. Appl. 2001, 94: 51–70.

4. Chi, Z. Uniform convergence of exact large deviations for renewal reward processes. Ann. Appl. Probab. 2007, 17(3): 1019–1048.

5. Dembo, A and Zeitouni, O. Large Deviations Techniques and Application (Second Edition), Springer-Verlag, New York, 1998.

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