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This article is cited in 20 scientific papers (total in 20 papers)
Short Communications
Truncation bounds for approximations of inhomogeneous continuous-time Markov chains
A. I. Zeifmanabc, A. V. Korotyshevaac, V. Yu. Korolevdc, Ya. A. Satinac a Vologda State University
b Institute of Socio-Economic Development of Territories, Russian Academy of Sciences, Vologda
c Federal Research Center "Computer Science and Control" of Russian Academy of Sciences
d Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Abstract:
Weakly ergodic continuous-time countable Markov chains are studied. We obtain uniform in time bounds for approximations via truncations by analogous smaller chains under some natural assumptions.
Keywords:
inhomogeneous continuous-time Markov processes, approximations, truncations, weak ergodicity.
Received: 06.02.2015
Citation:
A. I. Zeifman, A. V. Korotysheva, V. Yu. Korolev, Ya. A. Satin, “Truncation bounds for approximations of inhomogeneous continuous-time Markov chains”, Teor. Veroyatnost. i Primenen., 61:3 (2016), 563–569; Theory Probab. Appl., 61:3 (2017), 513–520
Linking options:
https://www.mathnet.ru/eng/tvp5073https://doi.org/10.4213/tvp5073 https://www.mathnet.ru/eng/tvp/v61/i3/p563
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