{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,29]],"date-time":"2026-05-29T14:39:05Z","timestamp":1780065545029,"version":"3.54.0"},"reference-count":24,"publisher":"Wiley","issue":"7","license":[{"start":{"date-parts":[[2025,7,20]],"date-time":"2025-07-20T00:00:00Z","timestamp":1752969600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Quality &amp; Reliability Eng"],"published-print":{"date-parts":[[2025,11]]},"abstract":"<jats:title>ABSTRACT<\/jats:title><jats:p>This article introduces a new robust multivariate Hotelling T\u2010square (TS) control chart that incorporates an L\u2010Comoments covariance matrix into a multivariate statistical process control (MSPC) charting scheme to enhance its robustness and detection ability. However, among the most popular, conventional Hotelling TS charts are affected by outliers and based on the so\u2010called classical covariance matrix estimators, which in turn presuppose normality and independence. This sensitivity reduces their usefulness in complicated practical problems where skewness, heavy tails, and outliers are likely to appear. Using L\u2010Comoments as a basis of the new chart can overcome these limitations since L\u2010Comoments are not affected by outliers. The performance of the proposed Hotelling TS (HTS) chart is assessed using total and generalized variances. By comparing the effectiveness of the L\u2010Comoments\u2010based TS chart using simulated and renewable energy data, the new chart based on the proposed approach outperforms the traditional chart and robust charts based on powerful estimators such as the minimum volume ellipsoid (MVE) and the minimum covariance determinant (MCD). Hence, the new approach enables the new exploration of robust and reliable multivariate quality control analysis for high\u2010dimension and complex\u00a0datasets.<\/jats:p>","DOI":"10.1002\/qre.70025","type":"journal-article","created":{"date-parts":[[2025,7,20]],"date-time":"2025-07-20T14:39:36Z","timestamp":1753022376000},"page":"3308-3317","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["A Robust L\u2010Comoments Covariance Matrix\u2010Based Hotelling's T2${T^{2}}$ Control Chart for Monitoring High\u2010Dimensional Non\u2010Normal Multivariate Data in the Presence of Outliers"],"prefix":"10.1002","volume":"41","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6595-3943","authenticated-orcid":false,"given":"Muhammad","family":"Arslan","sequence":"first","affiliation":[{"name":"Department of Management Science College of Business Administration Hunan University Changsha China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0178-5298","authenticated-orcid":false,"given":"Usman","family":"Shahzad","sequence":"additional","affiliation":[{"name":"Department of Management Science College of Business Administration Hunan University Changsha China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1569-9809","authenticated-orcid":false,"given":"Ali","family":"Yeganeh","sequence":"additional","affiliation":[{"name":"Faculty of Engineering Department of Industrial and System Engineering Ferdowsi University of Mashhad Mashhad Iran"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6384-7258","authenticated-orcid":false,"given":"Huiming","family":"Zhu","sequence":"additional","affiliation":[{"name":"Department of Management Science College of Business Administration Hunan University Changsha China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7236-7678","authenticated-orcid":false,"given":"JC","family":"Malela\u2010Majika","sequence":"additional","affiliation":[{"name":"Department of Statistics University of Pretoria Pretoria, Hatfield South Africa"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shakeel","family":"Ahmad","sequence":"additional","affiliation":[{"name":"Department of Management Science College of Business Administration Hunan University Changsha China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2025,7,20]]},"reference":[{"key":"e_1_2_7_2_1","volume-title":"Introduction to Statistical Quality Control","author":"Montgomery D. 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