从迭代对数定律到随机环境中超临界分支过程的佐洛塔列夫距离

IF 0.9 4区数学 Q3 STATISTICS & PROBABILITY

Statistics & Probability Letters Pub Date : 2024-06-27 DOI:10.1016/j.spl.2024.110194

Yinna Ye

引用次数: 0

摘要

考虑 (Zn)n⩾0 是独立且同分布环境中的超临界分支过程。基于马氏极限理论的最新发展，我们建立了过程 (logZn)n⩾0 在 Zolotarev 和 Wasserstein 距离 p∈(0,2] 阶下的迭代对数定律、强大数定律、不变性原理和中心极限定理中的最优收敛速率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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From law of the iterated logarithm to Zolotarev distance for supercritical branching processes in random environment

Consider ${(Z_{n})}_{n ⩾ 0}$ 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 ${(log Z_{n})}_{n ⩾ 0}$ .

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来源期刊

Statistics & Probability Letters 数学-统计学与概率论

CiteScore

1.60

自引率

0.00%

发文量

173

审稿时长

6 months

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