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Extinction of decomposable branching processes

  • Vladimir A. Vatutin EMAIL logo und Elena E. Dyakonova
Veröffentlicht/Copyright: 15. Juli 2016
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Discrete Mathematics and Applications
Aus der Zeitschrift Discrete Mathematics and Applications Band 26 Heft 3

Abstract

The asymptotic behavior, as n → ∞, of the conditional distribution of the number of particles in a decomposable critical branching process Z(m) = (Z1 (m), …, ZN(m)) with N types of particles at moment m = n − k, k = 0(n), is investigated given that the extinction moment of the process equals to n.

Keywords: decomposable branching processes; criticality; conditional limit theorems

Note: Originally published in Diskretnaya Matematika (2015) 27, No_4, 26–37 (in Russian).

Funding source: Russian Science Foundation

Award Identifier / Grant number: 14-50-00005

Funding statement: This work was supported by the Russian Science Foundation under grant no. 14-50-00005

References

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Received: 2015-6-18
Published Online: 2016-7-15
Published in Print: 2016-7-1

© 2016 Walter de Gruyter GmbH, Berlin/Boston

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https://doi.org/10.1515/dma-2016-0016
Schlagwörter für diesen Artikel
decomposable branching processes; criticality; conditional limit theorems

Artikel in diesem Heft

  1. Research Article
  2. Finite automata and numbers
  3. Research Article
  4. On coincidences of tuples in a binary tree with random labels of vertices
  5. Research Article
  6. On elementary word functions obtained by bounded prefix concatenation
  7. Research Article
  8. Functions without short implicents. Part II: Construction
  9. Research Article
  10. Images of a finite set under iterations of two random dependent mappings
  11. Research Article
  12. Extinction of decomposable branching processes
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