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Asymptotic properties of Bellman-Harris critical branching processes starting with a large number of particles

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Literature cited

  1. B. A. Sevast'yanov, Branching Processes [in Russian], Nauka, Mosocw (1971).

    Google Scholar 

  2. V. A. Vatunin and A. M. Zubkov, “Branching processes. I,” Itogi Nauki i Tekhniki, Probability Theory, Mathematical Statistics, Theoretical Cybernetics [in Russian], VINITI, Moscow (1985), pp. 3–67.

    Google Scholar 

  3. V. A. Vatunin, “Bellman-Harris critical branching processes starting with a large number of particles,” Mat. Zametki,40, No. 4, 527–541 (1986).

    Google Scholar 

  4. V. V. Stepanov, A Course in Differential Equations [in Russian], Fizmatgiz, Moscow (1958).

    Google Scholar 

  5. S. G. Tkachuk, “Limit theorems for sums of independent random variables contained in the attraction domain of the stable law,” Dissertation, Tashkent (1977).

  6. K. B. Atreya and P. E. Ney, Branching Processes, Springer, Berlin (1972).

    Google Scholar 

  7. R. S. Slack, “A branching process with mean one and possibly infinite variance,” Z. Wahrscheinlichkeitstheor. Verw. Geb.,9, No. 2, 139–145 (1968).

    Google Scholar 

  8. E. Seneta, Regularly Varying Functions, Springer, Berlin (1976).

    Google Scholar 

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Translated from Problemy Ustoichivosti Stokhasticheskikh Modelei, Trudy Seminara, pp. 8–15, 1987.

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Vatutin, V.A. Asymptotic properties of Bellman-Harris critical branching processes starting with a large number of particles. J Math Sci 47, 2673–2681 (1989). https://doi.org/10.1007/BF01095591

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