负相关设置下加权和的完全矩收敛性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-39

Haiwu Huang, Yanc un Yi, Xiong ao Wu

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引用次数: 0

摘要

．本文讨论了负相关随机变量加权和的完全矩收敛性，不考虑相同分布的假设。在矩条件E | X |/ (log (1 + | X |))/−1 <对于0 <<且1 <(cid:2) 2的情况下，给出了负相关设置加权和的完全矩收敛定理。本文得到的主要结果是对Chen和Sung (Stat. probil)的相应结果的推广和改进。列托人。[j] .科学通报，2014(2):45-52。农业学报，52:447-454(2011))。

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On complete moment convergence for weighted sums under negatively associated setup

. In this work, the complete moment convergence for weighted sums of negatively associated random variables is discussed without assumptions of identical distribution. Under the moment condition E | X |  / ( log ( 1 + | X | ))  /  − 1 <  for the case 0 <  <  with 1 <  (cid:2) 2, the complete moment convergence theorem for weighted sums of negatively associated setup is presented. The main results obtained in this article extend and improve the corresponding ones of Chen and Sung (Stat. Probabil. Lett., 92: 45–52 (2014)), Sung (Stat. Pap., 52: 447–454 (2011)).

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.