Limit theorem for stationary distribution of a critical controlled branching process with immigration
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Vladimir I. Vinokurov
Abstract
We consider the sequence {ξn,t}t≥1 of controlled critical branching processes with immigration, where n = 1, 2, … is an integer parameter limiting the population size. It is shown that for n → ∞ the stationary distributions of considered branching processes normalized by
Note: Originally published in Diskretnaya Matematika (2023) 35, №3, 5–19 (in Russian).
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Articles in the same Issue
- Frontmatter
- On small distance-regular graphs with the intersection arrays {mn − 1, (m − 1)(n + 1), n − m + 1; 1, 1, (m − 1)(n + 1)}
- On algebraicity of lattices of ω-fibred formations of finite groups
- On polynomial-modular recursive sequences
- Classes of piecewise-quasiaffine transformations on the generalized 2-group of quaternions
- Limit theorem for a smoothed version of the spectral test for testing the equiprobability of a binary sequence
- Limit theorem for stationary distribution of a critical controlled branching process with immigration
Articles in the same Issue
- Frontmatter
- On small distance-regular graphs with the intersection arrays {mn − 1, (m − 1)(n + 1), n − m + 1; 1, 1, (m − 1)(n + 1)}
- On algebraicity of lattices of ω-fibred formations of finite groups
- On polynomial-modular recursive sequences
- Classes of piecewise-quasiaffine transformations on the generalized 2-group of quaternions
- Limit theorem for a smoothed version of the spectral test for testing the equiprobability of a binary sequence
- Limit theorem for stationary distribution of a critical controlled branching process with immigration
