{"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":49475,"journal":{"name":"Statistics & Probability Letters","volume":"214 ","pages":"Article 110203"},"PeriodicalIF":0.9000,"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\":49475,\"journal\":{\"name\":\"Statistics & Probability Letters\",\"volume\":\"214 \",\"pages\":\"Article 110203\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-07-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Statistics & Probability Letters\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S016771522400172X\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistics & Probability Letters","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S016771522400172X","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"STATISTICS & PROBABILITY","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.
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Statistics & Probability Letters adopts a novel and highly innovative approach to the publication of research findings in statistics and probability. It features concise articles, rapid publication and broad coverage of the statistics and probability literature.
Statistics & Probability Letters is a refereed journal. Articles will be limited to six journal pages (13 double-space typed pages) including references and figures. Apart from the six-page limitation, originality, quality and clarity will be the criteria for choosing the material to be published in Statistics & Probability Letters. Every attempt will be made to provide the first review of a submitted manuscript within three months of submission.
The proliferation of literature and long publication delays have made it difficult for researchers and practitioners to keep up with new developments outside of, or even within, their specialization. The aim of Statistics & Probability Letters is to help to alleviate this problem. Concise communications (letters) allow readers to quickly and easily digest large amounts of material and to stay up-to-date with developments in all areas of statistics and probability.
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