hilbert值坐标型PNQD随机变量加权和的强大数定律及其应用

VNU Journal of Science: Mathematics - Physics Pub Date : 2023-07-06 DOI:10.25073/2588-1124/vnumap.4829

Ta Van Chien, Bui Khanh Hang, Bui Thi Thuy Lien

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摘要

本文的目的是研究希尔伯特空间中坐标两两负象限相关随机变量加权和的几乎肯定收敛性的结果。作为应用，研究了退化von mises统计量的几乎肯定收敛性。关键词:负象限依赖，希尔伯特空间，加权和，大数强定律。

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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Strong Laws of Large Numbers for Weighted Sums of Hilbert-valued Coordinatewise PNQD Random Variables with Applications

The aim of this paper is to investigate results on almost sure convergence of weighted sums of coordinatewise pairwise negatively quadrant dependent random variables taking values in Hilbert spaces. As an application, the almost sure convergence of degenerate von Mises-statistics is investigated. Keywords: Negative quadrant dependence, Hilbert spaces, Weighted sums, Strong laws of large numbers.

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VNU Journal of Science: Mathematics - Physics

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