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On a limit theorem for an additive functional on a nonrecurrent Markovian chain

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Ukrainian Mathematical Journal Aims and scope

Abstract

We establish conditions under which the distribution of an additive functional on a nonrecurrent Markovian chain is asymptotically normal.

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References

  1. A. V. Skorokhod and N. P. Slobodenyuk, Limit Theorems for Random Walks [in Russian], Naukova Dumka, Kiev (1970).

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  2. M. A. Lavrent’ev and B. V. Shabat, Methods of the Theory of Functions of Complex Variables [in Russian], Nauka, Moscow (1987).

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Authors
  1. N. A. Ruzhevich
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Additional information

Institute of Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, L’viv. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 2, pp. 262–271, February, 1997.

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Ruzhevich, N.A. On a limit theorem for an additive functional on a nonrecurrent Markovian chain. Ukr Math J 49, 289–301 (1997). https://doi.org/10.1007/BF02486443

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  • DOI: https://doi.org/10.1007/BF02486443

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