Abstract
We consider a strongly supercritical branching process in random environment with immigration stopped at a distant time 𝑛.
The offspring reproduction law in each generation is assumed to be geometric.
The process is considered under the condition of its extinction after time 𝑛.
Two limit theorems for this process are proved: the first one is for the time interval from 0 till 𝑛, and the second one is for the time interval from 𝑛 till
Funding source: Russian Science Foundation
Award Identifier / Grant number: 19-11-00111
Funding statement: This work is supported by the Russian Science Foundation under grant 19-11-00111.
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Articles in the same Issue
- Frontmatter
- 5th International Workshop on Branching Processes and Their Applications (IWBPA 2021)
- Critical Galton–Watson Processes with Overlapping Generations
- Linear Fractional Galton–Watson Processes in Random Environment and Perpetuities
- Limit Theorems for a Strongly Supercritical Branching Process with Immigration in Random Environment
- Asymptotic Properties of a Supercritical Branching Process with Immigration in a Random Environment
- Branching Process Modelling of COVID-19 Pandemic Including Immunity and Vaccination
- Homogeneous Branching Processes with Non-Homogeneous Immigration
Articles in the same Issue
- Frontmatter
- 5th International Workshop on Branching Processes and Their Applications (IWBPA 2021)
- Critical Galton–Watson Processes with Overlapping Generations
- Linear Fractional Galton–Watson Processes in Random Environment and Perpetuities
- Limit Theorems for a Strongly Supercritical Branching Process with Immigration in Random Environment
- Asymptotic Properties of a Supercritical Branching Process with Immigration in a Random Environment
- Branching Process Modelling of COVID-19 Pandemic Including Immunity and Vaccination
- Homogeneous Branching Processes with Non-Homogeneous Immigration