Functional limit theorems for the decomposable branching process with two types of particles
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Valeriy I Afanasiev
Abstract
A decomposable Galton - Watson process with two types of particles is considered. Particles of the first type produce equal random numbers of particles of both types, particles of the second type produce particles of the second type only. Under the condition that the total number of the first type particles is equal to N the functional limit theorems are proved for the numbers of particles of both types existing at times of the orders of 
Originally published in Diskretnaya Matematika (2015) 27, N2, 22-44 (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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© 2016 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Article
- Functional limit theorems for the decomposable branching process with two types of particles
- Article
- Completeness problem for the class of linear automata functions
- Article
- Estimates of accuracy of the Poisson approximation for the distribution of number of runs of long string repetitions in a Markov chain
- Article
- Complexity of systems of functions of Boolean algebra and systems of functions of three-valued logic in classes of polarized polynomial forms
- Article
- A Markov chain with number-theoretic limit distribution
Artikel in diesem Heft
- Frontmatter
- Article
- Functional limit theorems for the decomposable branching process with two types of particles
- Article
- Completeness problem for the class of linear automata functions
- Article
- Estimates of accuracy of the Poisson approximation for the distribution of number of runs of long string repetitions in a Markov chain
- Article
- Complexity of systems of functions of Boolean algebra and systems of functions of three-valued logic in classes of polarized polynomial forms
- Article
- A Markov chain with number-theoretic limit distribution
