{"title":"随机热方程精确渐近的一般结果","authors":"Jingyu Li, Yong Zhang","doi":"10.1080/03610926.2024.2335541","DOIUrl":null,"url":null,"abstract":"In this article, we investigate the precise asymptotics for complete convergence and complete moment convergence for the spatial averages of the solution to the stochastic heat equation over a Eucl...","PeriodicalId":10531,"journal":{"name":"Communications in Statistics - Theory and Methods","volume":"34 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"General results on precise asymptotics for the stochastic heat equation\",\"authors\":\"Jingyu Li, Yong Zhang\",\"doi\":\"10.1080/03610926.2024.2335541\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we investigate the precise asymptotics for complete convergence and complete moment convergence for the spatial averages of the solution to the stochastic heat equation over a Eucl...\",\"PeriodicalId\":10531,\"journal\":{\"name\":\"Communications in Statistics - Theory and Methods\",\"volume\":\"34 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-04-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Statistics - Theory and Methods\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/03610926.2024.2335541\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Statistics - Theory and Methods","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/03610926.2024.2335541","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
General results on precise asymptotics for the stochastic heat equation
In this article, we investigate the precise asymptotics for complete convergence and complete moment convergence for the spatial averages of the solution to the stochastic heat equation over a Eucl...
期刊介绍:
The Theory and Methods series intends to publish papers that make theoretical and methodological advances in Probability and Statistics. New applications of statistical and probabilistic methods will also be considered for publication. In addition, special issues dedicated to a specific topic of current interest will also be published in this series periodically, providing an exhaustive and up-to-date review of that topic to the readership.