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Functional limit theorems for high-level subcritical branching processes in random environment
Veröffentlicht/Copyright:
14. November 2014
Abstract
The paper is concerned with subcritical branching process in random environment. It is assumed that the moment-generating function of steps of the associated random walk is equal to 1 for some positive value of the argument. Functional limit theorems for sizes of various generations and passage times to various levels are put forward.
Keywords : branching process in random environment; passage time to high level; conditional limit theorems
Published Online: 2014-11-14
Published in Print: 2014-10-1
© 2014 by Walter de Gruyter Berlin/Boston
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Artikel in diesem Heft
- Frontmatter
- Functional limit theorems for high-level subcritical branching processes in random environment
- Effective attack on the McEliece cryptosystem based on Reed-Muller codes
- Calculating the number of solutions of a difference equation
- Generating functions and the Myerson vector in communication networks
- Asymptotic normality of numbers of non-occurring values of m-dependent random variables
Schlagwörter für diesen Artikel
branching process in random environment;
passage time to high level;
conditional limit theorems
Artikel in diesem Heft
- Frontmatter
- Functional limit theorems for high-level subcritical branching processes in random environment
- Effective attack on the McEliece cryptosystem based on Reed-Muller codes
- Calculating the number of solutions of a difference equation
- Generating functions and the Myerson vector in communication networks
- Asymptotic normality of numbers of non-occurring values of m-dependent random variables
