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Transformations of Markov functionals

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Ukrainian Mathematical Journal Aims and scope

Abstract

We consider transformations of Markov functionals by means of an additional component. An explanation is given for the behavior of Markov functionals before and after a transformation.

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Literature cited

  1. D. Alimov, “Three examples of Markov functionals,” Ukr. Mat. Zh.,44, No. 3, 299–304 (1992).

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  2. D. Alimov, “Law of big numbers for Markov functionals,” Dokl. Akad. Nauk Ukr. SSR, No. 4, 27–29 (1991).

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

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  4. D. Alimov, “Some remarks on the artificial regeneration,” in: Stochastic Equations and Limit Theorems [in Russian], Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev (1991).

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Authors and Affiliations

  1. Turkmenian Polytechnic Institute, Ashkhabad

    D. Alimov

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  1. D. Alimov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 4, pp. 460–467, April, 1992.

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Alimov, D. Transformations of Markov functionals. Ukr Math J 44, 402–408 (1992). https://doi.org/10.1007/BF01064872

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  • DOI: https://doi.org/10.1007/BF01064872

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