KMS Of Academy of mathematics and systems sciences, CAS
Some Notes on Concordance between Optimization and Statistics | |
Mu, Weiyan1; Wei, Qiuyue1; Xiong, Shifeng2 | |
2019 | |
Source Publication | MATHEMATICAL PROBLEMS IN ENGINEERING |
ISSN | 1024-123X |
Pages | 6 |
Abstract | Many engineering problems require solutions to statistical optimization problems. When the global solution is hard to attain, engineers or statisticians always use the better solution because we intuitively believe a principle, called better solution principle (BSP) in this paper, that a better solution to a statistical optimization problem also has better statistical properties of interest. This principle displays some concordance between optimization and statistics and is expected to widely hold. Since theoretical study on BSP seems to be neglected by statisticians, this paper presents a primary discussion on BSP within a relatively general framework. We demonstrate two comparison theorems as the key results of this paper. Their applications to maximum likelihood estimation are presented. It can be seen that BSP for this problem holds under reasonable conditions; i.e., an estimator with greater likelihood is better in some statistical sense. |
DOI | 10.1155/2019/3485064 |
Language | 英语 |
Funding Project | Chinese Ministry of Science and Technology[2016YFF0203801] ; National Natural Science Foundation of China[11601027] ; National Natural Science Foundation of China[11671386] ; National Natural Science Foundation of China[11871033] ; BUCEA[21082716014] |
WOS Research Area | Engineering ; Mathematics |
WOS Subject | Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications |
WOS ID | WOS:000457039300001 |
Publisher | HINDAWI LTD |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/32325 |
Collection | 系统科学研究所 |
Corresponding Author | Xiong, Shifeng |
Affiliation | 1.Beijing Univ Civil Engn & Architecture, Sch Sci, Beijing 100044, Peoples R China 2.Chinese Acad Sci, NCMIS, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
Recommended Citation GB/T 7714 | Mu, Weiyan,Wei, Qiuyue,Xiong, Shifeng. Some Notes on Concordance between Optimization and Statistics[J]. MATHEMATICAL PROBLEMS IN ENGINEERING,2019:6. |
APA | Mu, Weiyan,Wei, Qiuyue,&Xiong, Shifeng.(2019).Some Notes on Concordance between Optimization and Statistics.MATHEMATICAL PROBLEMS IN ENGINEERING,6. |
MLA | Mu, Weiyan,et al."Some Notes on Concordance between Optimization and Statistics".MATHEMATICAL PROBLEMS IN ENGINEERING (2019):6. |
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