Strong approximations in the almost sure central limit theorem and limit behavior of the center of mass

IF 1.1 2区数学 Q3 STATISTICS & PROBABILITY

Stochastic Processes and their Applications Pub Date : 2025-01-15 DOI:10.1016/j.spa.2025.104570

Zhishui Hu , Wei Wang , Liang Dong

引用次数: 0

Abstract

In this paper, we establish an almost sure central limit theorem for a general random sequence under a strong approximation condition. Additionally, we derive the law of the iterated logarithm for the center of mass corresponding to a random sequence under a different strong approximation condition. Applications to step-reinforced random walks are also discussed.

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几乎确定的中心极限定理和质心极限行为的强近似

本文在强逼近条件下，建立了一般随机序列的一个几乎确定的中心极限定理。此外，在不同的强逼近条件下，导出了随机序列质心的迭代对数规律。本文还讨论了在阶梯增强随机漫步中的应用。

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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来源期刊

Stochastic Processes and their Applications 数学-统计学与概率论

CiteScore

2.90

自引率

7.10%

发文量

180

审稿时长

23.6 weeks

期刊介绍： Stochastic Processes and their Applications publishes papers on the theory and applications of stochastic processes. It is concerned with concepts and techniques, and is oriented towards a broad spectrum of mathematical, scientific and engineering interests. Characterization, structural properties, inference and control of stochastic processes are covered. The journal is exacting and scholarly in its standards. Every effort is made to promote innovation, vitality, and communication between disciplines. All papers are refereed.