| Autor: |
Möhle, Martin, Vetter, Benedict |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Markov Process. Related Fields, 27 (2021) 1-42 |
| Druh dokumentu: |
Working Paper |
| Popis: |
Scaling limits for continuous-time branching processes with discrete state space are provided as the initial state tends to infinity. Depending on the finiteness or non-finiteness of the mean and/or the variance of the offspring distribution, the limits are in general time-inhomogeneous Gaussian processes, time-inhomogeneous generalized Ornstein-Uhlenbeck type processes or continuous-state branching processes. We also provide transfer results showing how specific asymptotic relations for the probability generating function of the offspring distribution carry over to those of the one-dimensional distributions of the branching process. |
| Databáze: |
arXiv |
| Externí odkaz: |
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