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Markov renewal theorems in a scheme of series

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Ukrainian Mathematical Journal Aims and scope

Abstract

Four Markov renewal type theorems in the scheme of series are proved.

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Literature cited

  1. V. M. Shurenkov, Ergodic Markov Processes [in Russian], Nauka, Moscow (1989).

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  2. T. Kato, Theory of Perturbations of Linear Operators [Russian translation], Mir, Moscow (1972).

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  3. S. G. Krein (ed.), Functional Analysis [in Russian], Nauka, Moscow (1972).

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  4. N. V. Kartashov, “Inequalities in orgodicity and stability theorems for Markov chains with general phase space. I,” Teor. Veroyatn. Primen.,30, No. 2, 230–240 (1985).

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev

    D. Alimov & V. M. Shurenkov

Authors
  1. D. Alimov
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  2. V. M. Shurenkov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 11, pp. 1443–1448, November, 1990.

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Alimov, D., Shurenkov, V.M. Markov renewal theorems in a scheme of series. Ukr Math J 42, 1283–1288 (1990). https://doi.org/10.1007/BF01066181

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  • DOI: https://doi.org/10.1007/BF01066181

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