Residential College | false |
Status | 已發表Published |
Phase I analysis of high-dimensional covariance matrices based on sparse leading eigenvalues | |
Fan, Jinyu1![]() ![]() ![]() | |
2021-08-08 | |
Source Publication | Journal of Quality Technology
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ISSN | 0022-4065 |
Volume | 53Issue:4Pages:333-346 |
Abstract | In statistical process control (SPC), a proper Phase I analysis is essential to the success of Phase II monitoring. With recent advances in sensing technology and data acquisition systems, Phase I analysis of high-dimensional data is increasingly encountered. However, the high dimensionality presents a new challenge to the traditional Phase I techniques. A literature review reveals nearly no Phase I techniques in existence for analyzing high-dimensional process variability. Motivated by this, this paper develops a sparse-leading-eigenvalue-driven control chart for retrospectively monitoring high-dimensional covariance matrices in Phase I, denoted as the SLED control chart. The key idea of it is to track changes in the sparse leading eigenvalue between two covariance matrices. Compared to the L -type and (Formula presented.) -type methods, the proposed method can extract stronger signal with less noise. It is shown that the proposed method can gain high detection power, especially when the shift is weak and is not very dense, which is often the case in practical applications. |
Keyword | Statistical Process Control Two-sample Tests Eigenvalues Control Chart |
DOI | 10.1080/00224065.2020.1746212 |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS Research Area | Engineering ; Operations Research & Management Science ; Mathematics |
WOS Subject | Engineering, Industrial ; Operations Research & Management Science ; Statistics & Probability |
WOS ID | WOS:000533261600001 |
Scopus ID | 2-s2.0-85084319484 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF ACCOUNTING AND INFORMATION MANAGEMENT |
Corresponding Author | Shu, Lianjie |
Affiliation | 1.School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou, China 2.Faculty of Business, University of Macau, Macao 3.College of Economics and Management, Nanjing Forest University, Nanjing, China 4.Department of Industrial Engineering and Logistics Management, Shanghai Jiao Tong University, Shanghai, China |
Corresponding Author Affilication | University of Macau |
Recommended Citation GB/T 7714 | Fan, Jinyu,Shu, Lianjie,Yang, Aijun,et al. Phase I analysis of high-dimensional covariance matrices based on sparse leading eigenvalues[J]. Journal of Quality Technology, 2021, 53(4), 333-346. |
APA | Fan, Jinyu., Shu, Lianjie., Yang, Aijun., & Li, Yanting (2021). Phase I analysis of high-dimensional covariance matrices based on sparse leading eigenvalues. Journal of Quality Technology, 53(4), 333-346. |
MLA | Fan, Jinyu,et al."Phase I analysis of high-dimensional covariance matrices based on sparse leading eigenvalues".Journal of Quality Technology 53.4(2021):333-346. |
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