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Some comments on branching processes

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Abstract

The determination of the total number of particles taking part in a Galton-Watson process up to its extinction is reduced to the summation of independent, mutually independent random variables. The joint distribution of the total number of particles and the total duration of particles is investigated for branching processes with metamorphoses depending on age.

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Authors and Affiliations

  1. V. A. Steklov Mathematics Institute, Academy of Sciences of the USSR, USSR

    O. V. Viskov

Authors
  1. O. V. Viskov
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Additional information

Translated from Matematicheskie Zametki, Vol. 8, No. 4, pp. 409–418, October, 1970.

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Viskov, O.V. Some comments on branching processes. Mathematical Notes of the Academy of Sciences of the USSR 8, 701–705 (1970). https://doi.org/10.1007/BF01104368

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  • DOI: https://doi.org/10.1007/BF01104368

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