Stability estimation of some Markov controlled processes
Author:
Affiliation:
1. Departamento de Matemáticas, Universidad Autónoma Metropolitana-Iztapalapa. San Rafael Atlixco 186, Col. Vicentina, Iztapalapa, 09340 , Mexico City , Mexico
Abstract
Publisher
Walter de Gruyter GmbH
Subject
General Mathematics
Link
https://www.degruyter.com/document/doi/10.1515/math-2022-0514/pdf
Reference23 articles.
1. S. Meyn and R. L. Tweedie, Markov Chains and Stochastic Stability, Springer-Verlag, London, 1993.
2. Ch. Andrieu, V. B. Tadić, and M. Vihola, On the stability of some controlled Markov chains and its applications to stochastic approximation with Markovian dynamic, Ann. Appl. Probab. 25 (2015), no. 1, 1–45, https://doi.org/10.1214/13-AAP953.
3. Y. F. Atchadé and G. Fort, Limit theorems for some adaptive MCMC algorithms with subgeometric kernels: Part II, Bernoulli 18 (2012), no. 3, 975–1001, https://doi.org/10.3150/11-BEJ360.
4. V. M. Zolotarev, On the continuity of stochastic sequences generated by recurrent processes, Theory Probab. Appl. 20 (1975), no. 4, 819–832, https://doi.org/10.1137/1120088.
5. N. V. Kartashov, Inequalities in stability and ergodicity theorems for Markov chains with a general phase space. II, Teor. Veroyatn. Primen. 30 (1985), no. 3, 478–485, (in Russian).
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