CSpace  > 系统科学研究所
Some Notes on Concordance between Optimization and Statistics
Mu, Weiyan1; Wei, Qiuyue1; Xiong, Shifeng2
2019
Source PublicationMATHEMATICAL PROBLEMS IN ENGINEERING
ISSN1024-123X
Pages6
AbstractMany 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.
DOI10.1155/2019/3485064
Language英语
Funding ProjectChinese 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 AreaEngineering ; Mathematics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000457039300001
PublisherHINDAWI LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32325
Collection系统科学研究所
Affiliation1.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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Mu, Weiyan]'s Articles
[Wei, Qiuyue]'s Articles
[Xiong, Shifeng]'s Articles
Baidu academic
Similar articles in Baidu academic
[Mu, Weiyan]'s Articles
[Wei, Qiuyue]'s Articles
[Xiong, Shifeng]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Mu, Weiyan]'s Articles
[Wei, Qiuyue]'s Articles
[Xiong, Shifeng]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.