| Article ID: | iaor20041385 |
| Country: | United States |
| Volume: | 18 |
| Issue: | 2 |
| Start Page Number: | 281 |
| End Page Number: | 300 |
| Publication Date: | Apr 2002 |
| Journal: | Stochastic Models |
| Authors: | Mitov Kosto V., Yanev Nickolay M. |
The branching processes with state-dependent immigration are considered as alternating regenerative processes. The main purpose is to demonstrate some new ‘regenerative’ methods. Critical Bellman–Harris branching processes with state-dependent immigration are investigated and new limit theorems are obtained in the case of an infinite offspring variance and possibly infinite mean of the immigrants.