From law of the iterated logarithm to Zolotarev distance for supercritical branching processes in random environment
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916718263140352 |
|---|---|
| author | Ye, Yinna |
| author_facet | Ye, Yinna |
| contents | Consider $(Z_n)_{n\geq0}$ a supercritical branching process in an independent and identically distributed environment. Based on some recent development in martingale limit theory, we established law of the iterated logarithm, strong law of large numbers, invariance principle and optimal convergence rate in the central limit theorem under Zolotarev and Wasserstein distances of order $p\in(0,2]$ for the process $(\log Z_n)_{n\geq0}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04879 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | From law of the iterated logarithm to Zolotarev distance for supercritical branching processes in random environment Ye, Yinna Probability 60J80, 60K37, 60F05, 62E20 Consider $(Z_n)_{n\geq0}$ a supercritical branching process in an independent and identically distributed environment. Based on some recent development in martingale limit theory, we established law of the iterated logarithm, strong law of large numbers, invariance principle and optimal convergence rate in the central limit theorem under Zolotarev and Wasserstein distances of order $p\in(0,2]$ for the process $(\log Z_n)_{n\geq0}$. |
| title | From law of the iterated logarithm to Zolotarev distance for supercritical branching processes in random environment |
| topic | Probability 60J80, 60K37, 60F05, 62E20 |
| url | https://arxiv.org/abs/2401.04879 |