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Strongly stable Markov chains

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Literature cited

  1. 1.

    V. M. Zolotarev, “On continuity of stochastic sequences generated by recursive procedures,” Teor. Veroyatn. Primen.,20, No. 4, 834–837 (1975).

  2. 2.

    V. V. Kalashnikov, Qualitative Analysis of the Behavior of Complex Systems by the Method of Test Functions [in Russian], Nauka, Moscow (1978).

  3. 3.

    N. V. Kartashov, “Exponential asymptotics of the matrix of Markov renewal. Asymptotic problems for random processes,” Preprint of the Inst. of Mathematics, Acad. of Sci. of the Ukr. SSR, Kiev, No. 77–24, 28–43 (1977).

  4. 4.

    V. C. Korolyuk and A. F. Turbin, Semi-Markov Processes and Their Applications [in Russian], Naukova Dumka, Kiev (1976).

  5. 5.

    J. Neveu, Mathematical Foundations of Probability Theory [Russian translation], Mir, Moscow (1969).

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Translated from Problemy Ustoichivosti Stokhasticheskikh Modelei, pp. 54–59, 1981.

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Kartashov, N.V. Strongly stable Markov chains. J Math Sci 34, 1493–1498 (1986). https://doi.org/10.1007/BF01089787

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  • Markov Chain
  • Stable Markov Chain