We obtain the complete convergence for weighted sums of ρ ∗ ‐mixing random variables. Our result extends the result of Peligrad and Gut (1999) on unweighted average to a weighted average under a mild condition of weights. Our result also generalizes and sharpens the result of An and Yuan (2008).

Soo Hak Sung

Discrete Dynamics in Nature and Society

自然与社会中的离散动力学的主要目标是促进与自然和社会科学中遇到的复杂系统的离散动力学相关的基础研究和应用研究之间的联系。该杂志旨在促进针对计算机生成解决方案和混沌分析的出版物，特别是数值程序的正确性、混沌同步和控制、离散优化方法以及其他相关主题。该杂志为复杂系统分析领域的科学家和从业者之间的交流提供了一个渠道，并将促进离散动力学方法的开发和使用。

The primary goal of the journal "Discrete Dynamics in Nature and Society" is to foster the connection between fundamental and applied research related to discrete dynamics in complex systems encountered in natural and social sciences. This journal aims to publish works focused on computer-generated solutions and chaos analysis, with particular emphasis on the correctness of numerical programs, chaos synchronization and control, discrete optimization methods, and other related topics. It provides a platform for communication among scientists and practitioners in the field of complex systems analysis and promotes the development and application of discrete dynamics methods.

《Discrete Dynamics in Nature and Society》的主要目标是促进自然科学和社会科学中复杂系统的离散动力学基础研究与应用研究之间的联系。该期刊旨在发表与计算机生成解决方案和混沌分析相关的研究，特别关注数值程序的正确性、混沌同步与控制、离散优化方法及其他相关主题。期刊为复杂系统分析领域的科学家和从业者提供了一个交流的平台，促进离散动力学方法的发展与应用。

Complete Convergence for Weighted Sums of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>ρ</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math>-Mixing Random Variables

加权和的完全收敛性对于<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>ρ</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow></mml:math>-混合随机变量

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数学	4
数学, 数学跨学科应用	4
数学, 综合性期刊	4

Complete Convergence for Weighted Sums ofρ∗-Mixing Random Variables

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MULTIDISCIPLINARY SCIENCES	2