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Some Notes on Concordance between Optimization and Statistics
Joint Authors
Mu, Weiyan
Wei, Qiuyue
Xiong, Shifeng
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-01-16
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Mu, Weiyan& Wei, Qiuyue& Xiong, Shifeng. 2019. Some Notes on Concordance between Optimization and Statistics. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1195169
Modern Language Association (MLA)
Mu, Weiyan…[et al.]. Some Notes on Concordance between Optimization and Statistics. Mathematical Problems in Engineering No. 2019 (2019), pp.1-6.
https://search.emarefa.net/detail/BIM-1195169
American Medical Association (AMA)
Mu, Weiyan& Wei, Qiuyue& Xiong, Shifeng. Some Notes on Concordance between Optimization and Statistics. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1195169
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195169