Scholarlink

Abstract <p>We provide complementary results for a family of models with dependence on their previous <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(k\)</EquationSource> <!--ContMath2670006Vazquez-m1--> </InlineEquation>-sum. Using a martingale-based approach, we establish a functional central limit theorem and analyze the limiting behavior of the center of mass. Additionally, we explore the connection between our findings and the study of certain reinforced random walks in the literature.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Functional Central Limit Theorem for Dependent Models with Finite Memory

  • 期刊论文

  • 发表日期：

    2026年6月20日

查看全文
  • V. H. Vázquez-Guevara,
  • M. González-Navarrete

摘要

Abstract

We provide complementary results for a family of models with dependence on their previous \(k\) -sum. Using a martingale-based approach, we establish a functional central limit theorem and analyze the limiting behavior of the center of mass. Additionally, we explore the connection between our findings and the study of certain reinforced random walks in the literature.