{"title":"亚线性期望下 m 个广泛可接受随机变量的移动平均过程的完全 qth 矩收敛性","authors":"Mingzhou Xu, Xuhang Kong","doi":"10.1016/j.spl.2024.110203","DOIUrl":null,"url":null,"abstract":"<div><p>In this article, we studied complete <span><math><mi>q</mi></math></span>th moment convergence of the moving average processes produced by <span><math><mi>m</mi></math></span>-widely acceptable (<span><math><mi>m</mi></math></span>-WA) random variables under sub-linear expectations. The results here extend those of the moving average processes generated by <span><math><mi>m</mi></math></span>-WOD random variables in probability.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Complete qth moment convergence of moving average processes for m-widely acceptable random variables under sub-linear expectations\",\"authors\":\"Mingzhou Xu, Xuhang Kong\",\"doi\":\"10.1016/j.spl.2024.110203\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this article, we studied complete <span><math><mi>q</mi></math></span>th moment convergence of the moving average processes produced by <span><math><mi>m</mi></math></span>-widely acceptable (<span><math><mi>m</mi></math></span>-WA) random variables under sub-linear expectations. The results here extend those of the moving average processes generated by <span><math><mi>m</mi></math></span>-WOD random variables in probability.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-07-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S016771522400172X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S016771522400172X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Complete qth moment convergence of moving average processes for m-widely acceptable random variables under sub-linear expectations
In this article, we studied complete th moment convergence of the moving average processes produced by -widely acceptable (-WA) random variables under sub-linear expectations. The results here extend those of the moving average processes generated by -WOD random variables in probability.