负相关设置下加权和的完全矩收敛性

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-39

Haiwu Huang, Yanc un Yi, Xiong ao Wu

{"title":"负相关设置下加权和的完全矩收敛性","authors":"Haiwu Huang, Yanc un Yi, Xiong ao Wu","doi":"10.7153/jmi-2023-17-39","DOIUrl":null,"url":null,"abstract":". 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)).","PeriodicalId":49165,"journal":{"name":"Journal of Mathematical Inequalities","volume":"1 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On complete moment convergence for weighted sums under negatively associated setup\",\"authors\":\"Haiwu Huang, Yanc un Yi, Xiong ao Wu\",\"doi\":\"10.7153/jmi-2023-17-39\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". 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)).\",\"PeriodicalId\":49165,\"journal\":{\"name\":\"Journal of Mathematical Inequalities\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Inequalities\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.7153/jmi-2023-17-39\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Inequalities","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/jmi-2023-17-39","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

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))。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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)).

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.