变环境中Galton-Watson过程的Yaglom极限收敛速率
概率论
2024-10-03 v2
摘要
变环境中的Galton-Watson过程是一类子代分布逐代变化的离散时间分支过程。已知在临界情形下，这些过程具有Yaglom极限，即过程在条件于非灭绝下的适当归一化依分布收敛于标准指数随机变量。本稿件中，我们给出了Yaglom极限相对于Wasserstein度量的收敛速率。
引用
@article{arxiv.2305.11801,
title = {Rates on Yaglom's limit for Galton-Watson processes in a varying environment},
author = {Natalia Cardona-Tobón and Arturo Jaramillo and Sandra Palau},
journal= {arXiv preprint arXiv:2305.11801},
year = {2024}
}
备注
22 pages. Corrected some minor errors in the introduction, specifically in Theorem 1.2 and Equation 1.3. Added new references