{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,31]],"date-time":"2026-07-31T15:11:48Z","timestamp":1785510708026,"version":"3.56.0"},"reference-count":50,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100017596","name":"Natural Science Basic Research Program of Shaanxi Province","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100017596","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Computers & Industrial Engineering"],"published-print":{"date-parts":[[2026,9]]},"DOI":"10.1016\/j.cie.2026.112205","type":"journal-article","created":{"date-parts":[[2026,6,19]],"date-time":"2026-06-19T06:47:09Z","timestamp":1781851629000},"page":"112205","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Quantile-based monitoring of profiles with generally distributed responses"],"prefix":"10.1016","volume":"219","author":[{"given":"Xin","family":"Li","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jian","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8636-9292","authenticated-orcid":false,"given":"Kai","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"issue":"6","key":"10.1016\/j.cie.2026.112205_b1","doi-asserted-by":"crossref","first-page":"621","DOI":"10.1080\/24725854.2024.2351905","article-title":"A nonlinear quantile regression for accelerated destructive degradation testing data","volume":"57","author":"Bae","year":"2025","journal-title":"IISE Transactions"},{"issue":"1","key":"10.1016\/j.cie.2026.112205_b2","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1080\/24725854.2023.2171518","article-title":"Two approaches to monitoring multivariate Poisson counts: Simple and accurate","volume":"56","author":"Bai","year":"2024","journal-title":"IISE Transactions"},{"key":"10.1016\/j.cie.2026.112205_b3","doi-asserted-by":"crossref","first-page":"1519","DOI":"10.1002\/qre.2949","article-title":"Functional regression control chart for monitoring ship co2 emissions","volume":"38","author":"Capezza","year":"2021","journal-title":"Quality and Reliability Engineering International"},{"key":"10.1016\/j.cie.2026.112205_b4","doi-asserted-by":"crossref","DOI":"10.1016\/j.ress.2025.111520","article-title":"A causal inference-based root cause analysis framework using multi-modal data in large-complex system","volume":"265","author":"Chen","year":"2026","journal-title":"Reliability Engineering & System Safety"},{"issue":"4","key":"10.1016\/j.cie.2026.112205_b5","doi-asserted-by":"crossref","first-page":"767","DOI":"10.1002\/qre.2055","article-title":"Sum of squares control charts for monitoring of multivariate multiple linear regression profiles in phase II","volume":"33","author":"Ghashghaei","year":"2017","journal-title":"Quality and Reliability Engineering International"},{"issue":"20","key":"10.1016\/j.cie.2026.112205_b6","doi-asserted-by":"crossref","first-page":"6110","DOI":"10.1080\/00207543.2014.916431","article-title":"Profile monitoring via sensor fusion: the use of PCA methods for multi-channel data","volume":"52","author":"Grasso","year":"2014","journal-title":"International Journal of Production Research"},{"issue":"1","key":"10.1016\/j.cie.2026.112205_b7","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/00224065.1997.11979719","article-title":"Control charts for quantile function values","volume":"29","author":"Grimshaw","year":"1997","journal-title":"Journal of Quality Technology"},{"issue":"2","key":"10.1016\/j.cie.2026.112205_b8","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1007\/s11222-024-10408-6","article-title":"Multiple-output quantile regression neural network","volume":"34","author":"Hao","year":"2024","journal-title":"Statistics and Computing"},{"issue":"6","key":"10.1016\/j.cie.2026.112205_b9","doi-asserted-by":"crossref","first-page":"2608","DOI":"10.1214\/aos\/1032181172","article-title":"A general bahadur representation of M-estimators and its application to linear regression with nonstochastic designs","volume":"24","author":"He","year":"1996","journal-title":"Annals of Statistics"},{"issue":"3","key":"10.1016\/j.cie.2026.112205_b10","doi-asserted-by":"crossref","first-page":"258","DOI":"10.1080\/00224065.2007.11917692","article-title":"Monitoring multivariate process variability for individual observations","volume":"39","author":"Huwang","year":"2007","journal-title":"Journal of Quality Technology"},{"issue":"4","key":"10.1016\/j.cie.2026.112205_b11","doi-asserted-by":"crossref","first-page":"418","DOI":"10.1080\/00224065.2000.11980027","article-title":"On-line monitoring when the process yields a linear profile","volume":"32","author":"Kang","year":"2000","journal-title":"Journal of Quality Technology"},{"issue":"3","key":"10.1016\/j.cie.2026.112205_b12","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1080\/00224065.2003.11980225","article-title":"On the monitoring of linear profiles","volume":"35","author":"Kim","year":"2003","journal-title":"Journal of Quality Technology"},{"key":"10.1016\/j.cie.2026.112205_b13","series-title":"Quantile Regression","author":"Koenker","year":"2005"},{"issue":"1","key":"10.1016\/j.cie.2026.112205_b14","doi-asserted-by":"crossref","first-page":"33","DOI":"10.2307\/1913643","article-title":"Regression quantiles","volume":"46","author":"Koenker","year":"1978","journal-title":"Econometrica"},{"issue":"399","key":"10.1016\/j.cie.2026.112205_b15","first-page":"851","article-title":"L-Estimation for linear models","volume":"82","author":"Koenker","year":"1987","journal-title":"Journal of the American Statistical Association"},{"issue":"7","key":"10.1016\/j.cie.2026.112205_b16","doi-asserted-by":"crossref","first-page":"2463","DOI":"10.1109\/TPAMI.2020.2970410","article-title":"Real-time nonparametric anomaly detection in high-dimensional settings","volume":"43","author":"Kurt","year":"2021","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"10.1016\/j.cie.2026.112205_b17","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1016\/0167-9473(88)90003-5","article-title":"Quantile regression: A nonparametric approach","volume":"6","author":"Lejeune","year":"1988","journal-title":"Computational Statistics & Data Analysis"},{"issue":"11","key":"10.1016\/j.cie.2026.112205_b18","doi-asserted-by":"crossref","first-page":"11362","DOI":"10.1109\/TCYB.2021.3070590","article-title":"Directional PCA for fast detection and accurate diagnosis: A unified framework","volume":"52","author":"Li","year":"2022","journal-title":"IEEE Transactions on Cybernetics"},{"issue":"1","key":"10.1016\/j.cie.2026.112205_b19","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/00401706.1990.10484583","article-title":"Exponentially weighted moving average control schemes: Properties and enhancements","volume":"32","author":"Lucas","year":"1990","journal-title":"Technometrics"},{"issue":"5","key":"10.1016\/j.cie.2026.112205_b20","doi-asserted-by":"crossref","first-page":"851","DOI":"10.1002\/qre.1644","article-title":"Phase II multiple linear regression profile with small sample sizes","volume":"31","author":"Mahmoud","year":"2015","journal-title":"Quality and Reliability Engineering International"},{"key":"10.1016\/j.cie.2026.112205_b21","doi-asserted-by":"crossref","first-page":"705","DOI":"10.1016\/j.cie.2018.10.008","article-title":"An overview on recent profile monitoring papers (2008\u20132018) based on conceptual classification scheme","volume":"126","author":"Maleki","year":"2018","journal-title":"Computers & Industrial Engineering"},{"issue":"7","key":"10.1016\/j.cie.2026.112205_b22","doi-asserted-by":"crossref","first-page":"504","DOI":"10.1080\/10170669.2011.636383","article-title":"Improved design of quantile-based control charts","volume":"28","author":"Ning","year":"2011","journal-title":"Journal of the Chinese Institute of Industrial Engineers"},{"key":"10.1016\/j.cie.2026.112205_b23","doi-asserted-by":"crossref","first-page":"779","DOI":"10.1007\/s00170-014-6287-4","article-title":"Phase II monitoring of simple linear profiles with random explanatory variables","volume":"76","author":"Noorossana","year":"2015","journal-title":"International Journal of Advanced Manufacturing Technology"},{"issue":"4","key":"10.1016\/j.cie.2026.112205_b24","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1002\/qre.1125","article-title":"Effect of non-normality on the monitoring of simple linear profiles","volume":"27","author":"Noorossana","year":"2011","journal-title":"Quality and Reliability Engineering International"},{"issue":"11","key":"10.1016\/j.cie.2026.112205_b25","doi-asserted-by":"crossref","first-page":"1235","DOI":"10.1080\/0740817X.2013.770187","article-title":"Monitoring and diagnosis of multichannel nonlinear profile variations using uncorrelated multilinear principal component analysis","volume":"45","author":"Paynabar","year":"2013","journal-title":"IIE Transactions"},{"issue":"4","key":"10.1016\/j.cie.2026.112205_b26","first-page":"1655","article-title":"Control chart for monitoring nonparametric profiles with arbitrary design","volume":"20","author":"Qiu","year":"2010","journal-title":"Statistica Sinica"},{"issue":"4","key":"10.1016\/j.cie.2026.112205_b27","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1111\/j.1467-9876.2011.01025.x","article-title":"Spatiotemporal quantile regression for detecting distributional changes in environmental processes","volume":"61","author":"Reich","year":"2012","journal-title":"Journal of the Royal Statistical Society. Series C. Applied Statistics"},{"issue":"11","key":"10.1016\/j.cie.2026.112205_b28","doi-asserted-by":"crossref","first-page":"2870","DOI":"10.1080\/02664763.2021.1928013","article-title":"Effect of non-normality on the monitoring of simple linear profiles in two-stage processes: a remedial measure for gamma-distributed responses","volume":"49","author":"Soleimani","year":"2021","journal-title":"Journal of Applied Statistics"},{"issue":"8","key":"10.1016\/j.cie.2026.112205_b29","doi-asserted-by":"crossref","first-page":"949","DOI":"10.1002\/qre.1286","article-title":"On the monitoring of simple linear berkson profiles","volume":"28","author":"Wang","year":"2012","journal-title":"Quality and Reliability Engineering International"},{"issue":"3","key":"10.1016\/j.cie.2026.112205_b30","doi-asserted-by":"crossref","first-page":"360","DOI":"10.1080\/00401706.2017.1375993","article-title":"Thresholded multivariate principal component analysis for phase I multichannel profile monitoring","volume":"60","author":"Wang","year":"2018","journal-title":"Technometrics"},{"issue":"7","key":"10.1016\/j.cie.2026.112205_b31","doi-asserted-by":"crossref","first-page":"8367","DOI":"10.1109\/TITS.2021.3078816","article-title":"Sparse and robust multivariate functional principal component analysis for passenger flow pattern discovery in metro systems","volume":"23","author":"Wang","year":"2022","journal-title":"IEEE Transactions on Intelligent Transportation Systems"},{"key":"10.1016\/j.cie.2026.112205_b32","doi-asserted-by":"crossref","first-page":"206","DOI":"10.1016\/j.csda.2014.04.017","article-title":"Simultaneous monitoring of process mean vector and covariance matrix via penalized likelihood estimation","volume":"78","author":"Wang","year":"2014","journal-title":"Computational Statistics & Data Analysis"},{"issue":"3","key":"10.1016\/j.cie.2026.112205_b33","doi-asserted-by":"crossref","first-page":"2569","DOI":"10.1109\/JESTPE.2024.3387652","article-title":"Condition monitoring of discrete power devices: A data-driven approach with stress quantification and mold temperature sensing","volume":"22","author":"Wei","year":"2024","journal-title":"IEEE Journal of Emerging and Selected Topics in Power Electronics"},{"issue":"3","key":"10.1016\/j.cie.2026.112205_b34","doi-asserted-by":"crossref","first-page":"420","DOI":"10.1590\/S0103-65132007000300002","article-title":"Current research on profile monitoring","volume":"17","author":"Woodall","year":"2007","journal-title":"Production"},{"issue":"3","key":"10.1016\/j.cie.2026.112205_b35","doi-asserted-by":"crossref","first-page":"1026","DOI":"10.1080\/07350015.2023.2277172","article-title":"Functional-coefficient quantile regression for panel data with latent group structure","volume":"42","author":"Yang","year":"2024","journal-title":"Journal of Business & Economic Statistics"},{"issue":"3","key":"10.1016\/j.cie.2026.112205_b36","doi-asserted-by":"crossref","first-page":"1258","DOI":"10.1109\/TASE.2017.2772218","article-title":"A wavelet-based penalized mixed-effects decomposition for multichannel profile detection of in-line Raman spectroscopy","volume":"15","author":"Yue","year":"2018","journal-title":"IEEE Transactions on Automation Science and Engineering"},{"key":"10.1016\/j.cie.2026.112205_b37","first-page":"1","article-title":"A novel distribution-free control chart for monitoring linear profiles using quantile regression models","author":"Zhang","year":"2025","journal-title":"Quality Technology & Quantitative Management"},{"issue":"4","key":"10.1016\/j.cie.2026.112205_b38","doi-asserted-by":"crossref","first-page":"1440","DOI":"10.1016\/j.csda.2008.12.002","article-title":"Control chart based on likelihood ratio for monitoring linear profiles","volume":"53","author":"Zhang","year":"2009","journal-title":"Computational Statistics & Data Analysis"},{"issue":"10","key":"10.1016\/j.cie.2026.112205_b39","doi-asserted-by":"crossref","first-page":"2244","DOI":"10.1016\/j.csda.2010.03.027","article-title":"A multivariate control chart for simultaneously monitoring process mean and variability","volume":"54","author":"Zhang","year":"2010","journal-title":"Computational Statistics & Data Analysis"},{"key":"10.1016\/j.cie.2026.112205_b40","doi-asserted-by":"crossref","first-page":"7249","DOI":"10.1080\/03610918.2016.1235190","article-title":"Monitoring prespecified changes in linear profiles using control charts with supplementary runs rules","volume":"46","author":"Zhang","year":"2017","journal-title":"Communications in Statistics. Simulation and Computation"},{"key":"10.1016\/j.cie.2026.112205_b41","first-page":"114","article-title":"Service failure monitoring via multivariate multiple linear regression profile schemes with dimensionality reduction","volume":"178","author":"Zhang","year":"2023","journal-title":"Decision Support Systems"},{"issue":"4","key":"10.1016\/j.cie.2026.112205_b42","doi-asserted-by":"crossref","first-page":"1624","DOI":"10.1109\/TITS.2011.2158001","article-title":"Data-driven intelligent transportation systems: A survey","volume":"12","author":"Zhang","year":"2011","journal-title":"IEEE Transactions on Intelligent Transportation Systems"},{"issue":"4","key":"10.1016\/j.cie.2026.112205_b43","doi-asserted-by":"crossref","first-page":"344","DOI":"10.1080\/00224065.2018.1508275","article-title":"Multiple profiles sensor-based monitoring and anomaly detection","volume":"50","author":"Zhang","year":"2018","journal-title":"Journal of Quality Technology"},{"issue":"10","key":"10.1016\/j.cie.2026.112205_b44","doi-asserted-by":"crossref","first-page":"878","DOI":"10.1080\/24725854.2018.1451012","article-title":"Weakly correlated profile monitoring based on sparse multi-channel functional principal component analysis","volume":"50","author":"Zhang","year":"2018","journal-title":"IISE Transactions"},{"issue":"499","key":"10.1016\/j.cie.2026.112205_b45","doi-asserted-by":"crossref","first-page":"1049","DOI":"10.1080\/01621459.2012.682811","article-title":"Likelihood-based EWMA charts for monitoring Poisson count data with time-varying sample sizes","volume":"107","author":"Zhou","year":"2012","journal-title":"Journal of the American Statistical Association"},{"issue":"11","key":"10.1016\/j.cie.2026.112205_b46","doi-asserted-by":"crossref","first-page":"949","DOI":"10.1080\/0740817X.2011.649386","article-title":"A distribution-free robust method for monitoring linear profiles using rank-based regression","volume":"44","author":"Zi","year":"2012","journal-title":"IIE Transactions"},{"issue":"1","key":"10.1016\/j.cie.2026.112205_b47","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1198\/TECH.2010.09095","article-title":"A multivariate sign EWMA control chart","volume":"53","author":"Zou","year":"2011","journal-title":"Technometrics"},{"issue":"4","key":"10.1016\/j.cie.2026.112205_b48","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1198\/004017007000000164","article-title":"Monitoring general linear profiles using multivariate exponentially weighted moving average schemes","volume":"49","author":"Zou","year":"2007","journal-title":"Technometrics"},{"issue":"4","key":"10.1016\/j.cie.2026.112205_b49","doi-asserted-by":"crossref","first-page":"512","DOI":"10.1198\/004017008000000433","article-title":"Monitoring profiles based on nonparametric regression methods","volume":"50","author":"Zou","year":"2008","journal-title":"Technometrics"},{"issue":"12","key":"10.1016\/j.cie.2026.112205_b50","doi-asserted-by":"crossref","first-page":"1093","DOI":"10.1080\/07408170600728913","article-title":"Control chart based on change-point model for monitoring linear profiles","volume":"38","author":"Zou","year":"2006","journal-title":"IIE Transactions"}],"container-title":["Computers & Industrial Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0360835226004067?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0360835226004067?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,7,31]],"date-time":"2026-07-31T14:38:20Z","timestamp":1785508700000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0360835226004067"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,9]]},"references-count":50,"alternative-id":["S0360835226004067"],"URL":"https:\/\/doi.org\/10.1016\/j.cie.2026.112205","relation":{},"ISSN":["0360-8352"],"issn-type":[{"value":"0360-8352","type":"print"}],"subject":[],"published":{"date-parts":[[2026,9]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Quantile-based monitoring of profiles with generally distributed responses","name":"articletitle","label":"Article Title"},{"value":"Computers & Industrial Engineering","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cie.2026.112205","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"112205"}}