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Lumping the states of Markov and semi-Markov processes and the use of the lumping operation for the investigation of stochastic systems

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Cybernetics Aims and scope

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Literature Cited

  1. R. Bellman, “Direction of mathematical research in the theory of nonlinear chains,” in the collected Russian translations: Matematika,8, No. 5 (1964).

  2. E. B. Dynkin, Markov Processes [in Russian], Fizmatgiz, Moscow (1963).

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  3. Yu. V. Prokhorov and Yu. A. Rozanov, Probability Theory. Basic Concepts. Limit Theorems. Random Processes [in Russian], Nauka, Moscow (1967).

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  4. J. G. Kemeny and J. L. Snell, Finite Markov Chains, Van Nostrand, Princeton (1960).

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  5. N. V. Efimov and É. R. Rozendorn, Linear Algebra and Multidimensional Geometry [in Russian], Nauka, Moscow (1970).

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  6. L. V. Kantorovich and V. I. Krylov, Approximate Methods in Higher Analysis [in Russian], Fizmatgiz (1962).

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Authors
  1. A. M. Zakharin
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Additional information

Translated from Kibernetika, No. 4, pp. 56–64, July–August, 1972.

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Zakharin, A.M. Lumping the states of Markov and semi-Markov processes and the use of the lumping operation for the investigation of stochastic systems. Cybern Syst Anal 8, 589–598 (1972). https://doi.org/10.1007/BF01068280

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  • DOI: https://doi.org/10.1007/BF01068280

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