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Moderate deviations for nonhomogeneous Markov chains

Mingzhou Xu, Kun Cheng and Yunzheng Ding

Statistics & Probability Letters, 2020, vol. 157, issue C

Abstract: In this work, we establish moderate deviation principles for bounded functionals and empirical measures for nonhomogeneous Markov chains with finite state space under the condition of convergence of transition probability matrices for nonhomogeneous Markov chains in Cesàro sense.

Keywords: Nonhomogeneous Markov chains; Moderate deviations; Empirical measures; Martingale (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1016/j.spl.2019.108632

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