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A phase I change-point method for high-dimensional process with sparse mean shifts
Huang, Wenpo1; Shu, Lianjie2; Li, Yanting3; Wang, Luyao2
2023-01-04
Source PublicationNaval Research Logistics
ABS Journal Level3
ISSN0894-069X
Volume70Issue:3Pages:261-273
Abstract

Although Phase I analysis of multivariate processes has been extensively discussed, the discussion on techniques for Phase I monitoring of high-dimensional processes is still limited. In high-dimensional applications, it is common to observe that a large number of components but only a limited number of them change at the same time. The shifted components are often sparse and unknown a priori in practice. Motivated by this, this article studies Phase I monitoring of high-dimensional process mean vectors under an unknown sparsity level of shifts. The basic idea of the proposed monitoring scheme is to first employ the false discovery rate procedure to estimate the sparsity level of mean shifts, and then to monitor the mean changes based on the maximum of the directional likelihood ratio statistics over all the possible shift directions. The comparison results based on extensive simulations favor the proposed monitoring scheme. A real example is presented to illustrate the implementation of the new monitoring scheme.

KeywordMonitoring Scheme Multivariate Statistical Process Control Nonparametric Tests Two-sample Tests
DOI10.1002/nav.22095
URLView the original
Indexed BySCIE
WOS Research AreaOperations Research & Management Science
WOS SubjectOperations Research & Management Science
WOS IDWOS:000907578600001
PublisherWILEY, 111 RIVER ST, HOBOKEN 07030-5774, NJ
Scopus ID2-s2.0-85145564958
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Document TypeJournal article
CollectionFaculty of Business Administration
Corresponding AuthorLi, Yanting
Affiliation1.School of Management, Hangzhou Dianzi University, Hangzhou, Zhejiang, People's Republic of China
2.Faculty of Business Administration, University of Macau, Macau, People's Republic of China
3.School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, People's Republic of China
Recommended Citation
GB/T 7714
Huang, Wenpo,Shu, Lianjie,Li, Yanting,et al. A phase I change-point method for high-dimensional process with sparse mean shifts[J]. Naval Research Logistics, 2023, 70(3), 261-273.
APA Huang, Wenpo., Shu, Lianjie., Li, Yanting., & Wang, Luyao (2023). A phase I change-point method for high-dimensional process with sparse mean shifts. Naval Research Logistics, 70(3), 261-273.
MLA Huang, Wenpo,et al."A phase I change-point method for high-dimensional process with sparse mean shifts".Naval Research Logistics 70.3(2023):261-273.
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