Journal
JOURNAL OF PROCESS CONTROL
Volume 26, Issue -, Pages 51-55Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.jprocont.2015.01.007
Keywords
Average run length; EWMA; Multiple testing; Multivariate control chart
Funding
- National Research Foundation of Korea [2013R1A2A2A03068323]
- National Research Foundation of Korea [2013R1A2A2A03068323] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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This paper proposes a new type of multivariate EWMA control chart for detecting the process mean shift on the basis of a series of most recent T-squared statistics. We established a multiple hypothesis testing which uses the false discovery rate as the error to be controlled. Particularly, Benjamini-Hochberg procedure is applied to develop a new control scheme. A nonparametric density estimation based on the Parzen windows is adopted to approximate the distribution of the T-square statistics, from which the p-values are calculated. The performance of the proposed control charts is evaluated in terms of the out-of-control average run length and the in-control average run length according to various non-centrality parameters associated with the mean shifts. The result shows that the proposed control chart performs better than the existing multivariate EWMA chart for all mean shifts. The proposed method seems to be rigorous in the sense that error rates for the multiple hypotheses are considered in an integrated way via FDR rather than considering type I and II errors separately. (C) 2015 Elsevier Ltd. All rights reserved.
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