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March 2012 Profile control charts based on nonparametric L-1 regression methods
Ying Wei, Zhibiao Zhao, Dennis K. J. Lin
Ann. Appl. Stat. 6(1): 409-427 (March 2012). DOI: 10.1214/11-AOAS501

Abstract

Classical statistical process control often relies on univariate characteristics. In many contemporary applications, however, the quality of products must be characterized by some functional relation between a response variable and its explanatory variables. Monitoring such functional profiles has been a rapidly growing field due to increasing demands. This paper develops a novel nonparametric L-1 location-scale model to screen the shapes of profiles. The model is built on three basic elements: location shifts, local shape distortions, and overall shape deviations, which are quantified by three individual metrics. The proposed approach is applied to the previously analyzed vertical density profile data, leading to some interesting insights.

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Ying Wei. Zhibiao Zhao. Dennis K. J. Lin. "Profile control charts based on nonparametric L-1 regression methods." Ann. Appl. Stat. 6 (1) 409 - 427, March 2012. https://doi.org/10.1214/11-AOAS501

Information

Published: March 2012
First available in Project Euclid: 6 March 2012

zbMATH: 1235.62148
MathSciNet: MR2951543
Digital Object Identifier: 10.1214/11-AOAS501

Keywords: functional data , L-1 regression , nonparametric methods , profile control charts

Rights: Copyright © 2012 Institute of Mathematical Statistics

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Vol.6 • No. 1 • March 2012
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