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Critical Bellman-Harris branching processes starting with a large number of particles

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Publication:1112467
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DOI10.1007/BF01159675zbMath0659.60117MaRDI QIDQ1112467

Vladimir A. Vatutin

Publication date: 1986

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

functional equationslimit distributionscritical age-dependent branching process


Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)


Related Items (3)

Critical Galton-Watson processes with overlapping generations ⋮ Local particles numbers in critical branching random walk ⋮ A two-type Bellman-Harris process initiated by a large number of particles



Cites Work

  • On the convergence of sequences of branching processes
  • Transitional Phenomena and the Convergence of Galton–Watson Processes to Jiřina Processes
  • Two Limit Theorems for Critical Branching Processes
  • Discrete Limit Distributions of the Number of Particles in Critical Bellman–Harris Branching Process
  • The Limit of a Sequence of Branching Processes
  • A branching process with mean one and possibly infinite variance
  • Regularly varying functions
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