中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 系统科学研究所
Some Notes on Concordance between Optimization and Statistics

文献类型：期刊论文

作者Mu, Weiyan1; Wei, Qiuyue1; Xiong, Shifeng2
刊名MATHEMATICAL PROBLEMS IN ENGINEERING
出版日期2019
页码6
ISSN号1024-123X
DOI10.1155/2019/3485064
英文摘要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.
资助项目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研究方向Engineering ; Mathematics
语种英语
WOS记录号WOS:000457039300001
出版者HINDAWI LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/32324]  
专题系统科学研究所
通讯作者Xiong, Shifeng
作者单位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
推荐引用方式
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.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

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。