论希尔伯特值坐标性成对 NQD 随机变量的随机加权和的收敛性

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2024-06-15 DOI:10.1007/s40306-024-00537-5

Cuong Manh Tran, Chien Van Ta, Hang Bui Khanh

引用次数: 0

摘要

本文提出了在希尔伯特空间取值的成对负象限依存随机变量的加权和的完全收敛性。作为结果的应用，我们还研究了退化 von Mises 统计的完全收敛性。

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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On the Convergence for Randomly Weighted Sums of Hilbert-valued Coordinatewise Pairwise NQD Random Variables

In this paper, we present the complete convergence for weighted sums of coordinatewise pairwise negative quadrant dependent random variables taking values in Hilbert spaces. As an application of the results, the complete convergence of degenerate von Mises statistics is investigated.

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.