题名 | Walking on the Road to the Statistical Pyramid |
作者 | |
出版日期 | 2020-05 |
来源专著 | Contemporary Experimental Design, Multivariate Analysis and Data Mining |
ISBN | 978-3-030-46160-7 |
源著作者/编者 | Jianqing Fan, Jianxin Pan |
出版地 | USA |
出版者 | Springer, Cham |
页码 | 3-15 |
摘要 | This paper reviews Prof. Kai-Tai Fang’s major contribution to multivariate statistics in three aspects: generalized multivariate statistics; general symmetric multivariate distributions; growth curve models and miscellaneous fields. Generalized multivariate statistics is a large extension of traditional statistics with normal assumption. It aims to generalize the traditional statistical methodologies like parametric estimation, hypothesis testing, and modeling to a much wider family of multivariate distributions, which is called elliptically contoured distributions (ECD). General symmetric multivariate distributions form an even wider class of multivariate probability distributions that includes the ECD as its special case. Growth curve models (GCM) includes statistical methods that allow for consideration of inter-individual variability in intra-individual patterns of change over time. Outlier detection and identification of influential observations are important topics in the area of the GCM. Miscellaneous fields cover major contributions that Prof. Fang made in various areas of multivariate statistics beyond the three aspects mentioned above. |
语种 | 英语English |
DOI | 10.1007/978-3-030-46161-4_1 |
引用统计 | |
文献类型 | 著作章节 |
条目标识符 | https://repository.uic.edu.cn/handle/39GCC9TT/5327 |
专题 | 个人在本单位外知识产出 |
作者单位 | 1.University of ManchesterManchesterUK 2.University of New HavenWest HavenUSA 3.Southern University of Science and TechnologyShenzhenChina |
推荐引用方式 GB/T 7714 | Jianxin Pan,Jiajuan Liang,Guoliang Tian. Walking on the Road to the Statistical Pyramid. USA: Springer, Cham, 2020: 3-15. |
条目包含的文件 | 条目无相关文件。 |
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