Branching processes in a random environment with immigration stopped at zero
| Autor: | Mei Zhang, Elena Dyakonova, Doudou Li, Vladimir Vatutin |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
education.field_of_study General Mathematics media_common.quotation_subject Immigration Population Zero (linguistics) Moment (mathematics) Branching (linguistics) Random environment Statistical physics Statistics Probability and Uncertainty education Branching process Mathematics media_common |
| Zdroj: | Journal of Applied Probability. 57:237-249 |
| ISSN: | 1475-6072 0021-9002 |
| Popis: | A critical branching process with immigration which evolves in a random environment is considered. Assuming that immigration is not allowed when there are no individuals in the population, we investigate the tail distribution of the so-called life period of the process, i.e. the length of the time interval between the moment when the process is initiated by a positive number of particles and the moment when there are no individuals in the population for the first time. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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