Skip to main content
×
×
Home

Limit theorems for decomposable branching processes in a random environment

  • Vladimir Vatutin (a1) and Quansheng Liu (a2)
Abstract

We study the asymptotics of the survival probability for the critical and decomposable branching processes in a random environment and prove Yaglom-type limit theorems for these processes. It is shown that such processes possess some properties having no analogues for the decomposable branching processes in a constant environment.

Copyright
Corresponding author
Postal address: Steklov Mathematical Institute, Gubkin str. 8, 119991, Moscow, Russia. Email address: vatutin@mi.ras.ru
∗∗ Postal address: Université de Bretagne-Sud, UMR 6205, LMBA, F-56000 Vannes, France.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Applied Probability
  • ISSN: 0021-9002
  • EISSN: 1475-6072
  • URL: /core/journals/journal-of-applied-probability
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×

Keywords

MSC classification

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 15 *
Loading metrics...

Abstract views

Total abstract views: 96 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 17th August 2018. This data will be updated every 24 hours.