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Limit theorem for multitype critical branching process evolving in random environment
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Elena E. Dyakonova
Published/Copyright:
June 10, 2015
Abstract
We investigate a multitype critical branching process in an i.i.d. random environment. A functional limit theorem is proved for the logarithm of the number of particles in the process at moments nt, 0 ≤ t ≤ 1, conditioned on its survival up to moment n → ∞.
Received: 2014-2-16
Published Online: 2015-6-10
Published in Print: 2015-6-1
© 2015 by Walter de Gruyter Berlin/Boston
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- On the length of functions of κ-valued logic in the class of polynomial normal forms modulo κ
- Limit theorem for multitype critical branching process evolving in random environment
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Keywords for this article
multitype branching processes;
random environment;
functional limit theorem
Articles in the same Issue
- Frontmatter
- Stationary distribution of the player rating in the Elo model with one adversary
- On the length of functions of κ-valued logic in the class of polynomial normal forms modulo κ
- Limit theorem for multitype critical branching process evolving in random environment
- An estimate of the approximation accuracy in B. A. Sevastyanov’s limit theorem and its application in the problem of random inclusions
- Investigation of the cryptosystem MST3 based on a Suzuki 2-group
- Images of subset of finite set under iterations of random mappings
