Nguyen Van Quang , Nguyen Van Huan , Phan Tri Kien
{"title":"Convergence rates in the limit theorems for random sums of m-orthogonal random variables","authors":"Nguyen Van Quang , Nguyen Van Huan , Phan Tri Kien","doi":"10.1016/j.spl.2024.110248","DOIUrl":null,"url":null,"abstract":"<div><p>In the paper, upper bounds for the convergence rate in the limit theorems for random sums of <span><math><mi>m</mi></math></span>-orthogonal random variables are estimated using the <span><math><mi>K</mi></math></span>-functional method. Our results are extensions of some known results related to random sums.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0167715224002177/pdfft?md5=17cb1a5fa9a3d66cea519756810bb9b4&pid=1-s2.0-S0167715224002177-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167715224002177","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In the paper, upper bounds for the convergence rate in the limit theorems for random sums of -orthogonal random variables are estimated using the -functional method. Our results are extensions of some known results related to random sums.