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A limit theorem for branching random processes with variable mode (critical case)

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. R. V. Boiko, “On a controlled branching process,” Ukr. Mat. Zh.,24, No. 2, 237–244 (1974).

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  2. W. Feller, An Introduction to Probability Theory and Its Applications, Vol. II, Wiley, New York (1966).

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  3. G. Doetsch, Handbuch der Laplace Transformation, Band 1, Birkhäuser, Basel (1950).

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  4. G. Hardy, Divergent Series, Clarendon Press, Oxford (1949).

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  5. R. V. Boiko, “On the asymptotic behavior of the probability of degeneration of a branching process with variable mode (critical case),” in: Investigations in the Theory of Random Processes [in Russian], Izd. In-ta Matematiki, Akad. Nauk UkrSSR, Kiev (1976), pp. 21–30.

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  6. I. I. Gikhman and A. V. Skorokhod, Introduction to the Theory of Random Processes [in Russian], Nauka, Moscow (1965).

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Authors and Affiliations

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

    R. V. Boiko

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  1. R. V. Boiko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 29, No. 1, pp. 89–96, January–February, 1977.

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Boiko, R.V. A limit theorem for branching random processes with variable mode (critical case). Ukr Math J 29, 68–73 (1977). https://doi.org/10.1007/BF01085517

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  • DOI: https://doi.org/10.1007/BF01085517

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