Large deviations of branching processes with immigration in random environment
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Dmitriy V. Dmitruschenkov
und
Alexander V. Shklyaev
Abstract
We consider branching process Zn in random environment such that the associated random walk Sn has increments ξi with mean μ and satisfy the Cramér condition Eehξi < ∞, 0 < h < h+. Let χi be the number of particles immigrating into the ith generation of the process,
Originally published in Diskretnaya Matematika (2016) 28, №3, 28–48 (in Russian).
Funding source: Russian Foundation for Basic Research
Award Identifier / Grant number: 14-01-31091
Funding statement: The work was supported by the RFBR grant No. 14-01-31091 mol-a.
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© 2017 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Estimating the level of affinity of a quadratic form
- Cyclic decomposition of sets, set-splitting digraphs and cyclic classes of risk-free games
- Large deviations of branching processes with immigration in random environment
- On the probability of existence of substrings with the same structure in a random sequence
- Linearly realizable automata
- On the number of labeled outerplanar k-cycle blocks
- Convergence of the sequence of the Pearson statistics values to the normalized square of the Bessel process
Artikel in diesem Heft
- Frontmatter
- Estimating the level of affinity of a quadratic form
- Cyclic decomposition of sets, set-splitting digraphs and cyclic classes of risk-free games
- Large deviations of branching processes with immigration in random environment
- On the probability of existence of substrings with the same structure in a random sequence
- Linearly realizable automata
- On the number of labeled outerplanar k-cycle blocks
- Convergence of the sequence of the Pearson statistics values to the normalized square of the Bessel process
