| 题名 | Another Look at Stein's Method for Studentized Nonlinear Statistics with an Application to U-Statistics |
| 作者 | |
| 通讯作者 | Leung, Dennis |
| 发表日期 | 2024-06-01
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| DOI | |
| 发表期刊 | |
| ISSN | 0894-9840
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| EISSN | 1572-9230
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| 摘要 | We take another look at using Stein's method to establish uniform Berry-Esseen bounds for Studentized nonlinear statistics, highlighting variable censoring and an exponential randomized concentration inequality for a sum of censored variables as the essential tools to carry out the arguments involved. As an important application, we prove a uniform Berry-Esseen bound for Studentized U-statistics in a form that exhibits the dependence on the degree of the kernel. |
| 关键词 | |
| 相关链接 | [来源记录] |
| 收录类别 | |
| 语种 | 英语
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| 学校署名 | 其他
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| WOS研究方向 | Mathematics
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| WOS类目 | Statistics & Probability
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| WOS记录号 | WOS:001246796400001
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| 出版者 | |
| ESI学科分类 | MATHEMATICS
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| 来源库 | Web of Science
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| 引用统计 | |
| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/787855 |
| 专题 | 理学院_统计与数据科学系 |
| 作者单位 | 1.Univ Melbourne, Sch Math & Stat, Parkville, Australia 2.Southern Univ Sci & Technol, Natl Ctr Appl Math Shenzhen, Dept Stat & Data Sci, SICM, Shenzhen, Peoples R China |
| 推荐引用方式 GB/T 7714 |
Leung, Dennis,Shao, Qi-Man,Zhang, Liqian. Another Look at Stein's Method for Studentized Nonlinear Statistics with an Application to U-Statistics[J]. JOURNAL OF THEORETICAL PROBABILITY,2024.
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| APA |
Leung, Dennis,Shao, Qi-Man,&Zhang, Liqian.(2024).Another Look at Stein's Method for Studentized Nonlinear Statistics with an Application to U-Statistics.JOURNAL OF THEORETICAL PROBABILITY.
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| MLA |
Leung, Dennis,et al."Another Look at Stein's Method for Studentized Nonlinear Statistics with an Application to U-Statistics".JOURNAL OF THEORETICAL PROBABILITY (2024).
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| 条目包含的文件 | 条目无相关文件。 | |||||
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