KMS Of Academy of mathematics and systems sciences, CAS
CLT for approximating ergodic limit of SPDEs via a full discretization | |
Chen, Chuchu; Dang, Tonghe1; Hong, Jialin; Zhou, Tau | |
2023-03-01 | |
发表期刊 | STOCHASTIC PROCESSES AND THEIR APPLICATIONS |
ISSN | 0304-4149 |
卷号 | 157页码:1-41 |
摘要 | In order to characterize quantitatively the fluctuations between the ergodic limit and the time -averaging estimator, we establish a central limit theorem for a full discretization of the parabolic SPDE, which shows that the normalized time-averaging estimator converges weakly to a normal distribution as the time stepsize tends to 0. A key ingredient in the proof is to extract an appropriate martingale difference series sum from the normalized time-averaging estimator via the Poisson equation, so that convergences of such a sum and the remainder are well balanced.(c) 2022 Elsevier B.V. All rights reserved. |
关键词 | Central limit theorem Stochastic partial differential equation Full discretization Poisson equation Ergodic limit |
DOI | 10.1016/j.spa.2022.11.015 |
收录类别 | SCI |
语种 | 英语 |
资助项目 | National key R&D Program of China ; National Natural Science Foundation of China ; Youth Innovation Promotion Association CAS, China ; [2020YFA0713701] ; [11971470] ; [11871068] ; [12031020] ; [12022118] |
WOS研究方向 | Mathematics |
WOS类目 | Statistics & Probability |
WOS记录号 | WOS:000899376200001 |
出版者 | ELSEVIER |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/60513 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Dang, Tonghe |
作者单位 | 1.Chinese Acad Sci, ICMSEC, LSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
推荐引用方式 GB/T 7714 | Chen, Chuchu,Dang, Tonghe,Hong, Jialin,et al. CLT for approximating ergodic limit of SPDEs via a full discretization[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS,2023,157:1-41. |
APA | Chen, Chuchu,Dang, Tonghe,Hong, Jialin,&Zhou, Tau.(2023).CLT for approximating ergodic limit of SPDEs via a full discretization.STOCHASTIC PROCESSES AND THEIR APPLICATIONS,157,1-41. |
MLA | Chen, Chuchu,et al."CLT for approximating ergodic limit of SPDEs via a full discretization".STOCHASTIC PROCESSES AND THEIR APPLICATIONS 157(2023):1-41. |
条目包含的文件 | 条目无相关文件。 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论