{"title":"On complete convergence in Marcinkiewicz-Zygmund type SLLN for random variables","authors":"Anna Kuczmaszewska, Ji-gao Yan","doi":"10.1007/s11766-021-3816-4","DOIUrl":null,"url":null,"abstract":"<div><p>We consider a generalization of Baum-Katz theorem for random variables satisfying some cover conditions. Consequently, we get the results for many dependent structures, such as END, <i>ϱ</i>*-mixing, <i>ϱ</i><sup>−</sup>-mixing and <i>φ</i>-mixing, etc.</p></div>","PeriodicalId":67336,"journal":{"name":"Applied Mathematics-a Journal Of Chinese Universities Series B","volume":null,"pages":null},"PeriodicalIF":1.2000,"publicationDate":"2021-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics-a Journal Of Chinese Universities Series B","FirstCategoryId":"1089","ListUrlMain":"https://link.springer.com/article/10.1007/s11766-021-3816-4","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 4
Abstract
We consider a generalization of Baum-Katz theorem for random variables satisfying some cover conditions. Consequently, we get the results for many dependent structures, such as END, ϱ*-mixing, ϱ−-mixing and φ-mixing, etc.