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Literature cited
K. B. Athreya and P. Ney, “A new approach to the limit theory of recurrent Markov chains,” Trans. Am. Math. Soc.,245, 493–501 (1978).
S. A. Anichkin and V. V. Kalashnikov, “Approximation of Markov chains,” in: Problemy Ustoichivosti Stokhasticheskikh Modelei — Tr. Sem., VNIISI, Moscow (1980), pp. 4–12.
V. V. Kalashnikov and S. A. Anichkin, “Continuity of random sequences and approximation of Markov chains,” Adv. Appl. Prob.,13, No. 2, 402–414 (1981).
V. V. Kalashnikov, Qualitative Analysis of the Behavior of Complex Systems by the Method of Trial Functions [in Russian], Nauka, Moscow (1978).
V. V. Kalashnikov, “Solving the problem of approximation of a countable Markov chain,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 3, 92–95 (1978).
S. A. Anichkin, “Approximation of random sequences,” in: Problemy Ustoichivosti Stokhasticheskikh Modelei — Tr. Sem., VNIISI, Moscow (1981), pp. 4–10.
V. V. Kalashnikov, “The property of γ-recurrence for Markovian sequences,” Dokl. Akad. Nauk SSSR,213, No. 6, 1243–1246 (1973).
A. A. Borovkov, “Ergodic and stability theorems for one class of stochastic equations,” Teor. Veroyatn. Primen.,23, No. 2, 241–262 (1978).
I. Akhmarov, “On convergence rate in ergodic and continuity theorems for multichannel queueing systems,” Teor. Veroyatn. Primen.,24, No. 2, 418–424 (1979).
V. V. Kalashnikov, “Stability bound for innovation processes,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 5, 85–89 (1979).
S. A. Anichkin, “Approximation of Markov chains defined by recurrence relationships,” in: Problemy Ustoichivosti Stokhasticheskikh Modelei — Tr. Sem., VNIISI, Moscow (1983), pp. 4–16.
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Translated from Problemy Ustoichivosti Stokhasticheskikh Modelei — Trudy Seminara, pp. 22–27, 1984.
I would like to acknowledge the useful comments of Prof. V. V. Kalashnikov.
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Anichkin, S.A. Estimating the approximation accuracy of Harris-recurrent Markov chains. J Math Sci 35, 2301–2306 (1986). https://doi.org/10.1007/BF01105646
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DOI: https://doi.org/10.1007/BF01105646