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Limit theorem for the densities of the Markov sums of random variables

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. I. I. Gikhman, “An asymptotic theorem for sums of small random variables,” Trudy Inst. Matem, i Mekh. Akad. Nauk UzbekSSR, No. 10, Part 1 (1953).

  2. A. M. Il'in, A. S. Kalashnikov, and O. A. Oleinik, “Linear second-order parabolic equations,” Uspekhi Matem. Nauk,17, No.3 (1962).

  3. A. N. Litvinov, “Asymptotic analysis of the distribution of random variables joined in a Markov chain,” Ukrainsk. Matem. Zh.,18, No.4 (1966).

  4. V. V. Petrov, “Local limit theorems for sums of independent random variables,” Teor. Veroyat. i ee Prim.,9, No.2 (1964).

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Authors and Affiliations

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

    A. N. Litvinov

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  1. A. N. Litvinov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 21, No.4, pp.549–557, July–August, 1969.

The author expresses his sincere appreciation to V. S. Korolyuk for interest in the present study.

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Litvinov, A.N. Limit theorem for the densities of the Markov sums of random variables. Ukr Math J 21, 470–476 (1969). https://doi.org/10.1007/BF01090789

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  • DOI: https://doi.org/10.1007/BF01090789

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