Nonlinear profile monitoring with single index models. (23rd December 2020)

• Record Type: Journal Article
• Authors: Iguchi, Takayuki; Barrientos, Andrés F.; Chicken, Eric; Sinha, Debajyoti
• Editors: Medlin, Rebecca M.
• Is Part Of: Quality and reliability engineering international. Volume 37:Number 7(2021)
• Page Start: 3004
• Page End: 3017
• Publication Date: 2020-12-23
• Subjects: change point detection -- nonlinear nonparametric profile monitoring -- single index model -- statistical process control; Reliability (Engineering) -- Periodicals; Quality control -- Periodicals; High technology -- Periodicals; 620.00452
• DOI: 10.1002/qre.2825
• Languages: English
• ISSNs: 0748-8017

Abstract

Abstract: We consider change‐point detection and estimation in sequences of functional observations. This setting often arises when the quality of a process is characterized by such observations, called profiles, and monitoring profiles for changes in structure can be used to ensure the stability of the process over time. We propose a nonparametric approach using a single index model (SIM), where instead of monitoring the profile itself for a change, we monitor an l 2 ‐based statistic on the coefficients generated by the SIM. Through simulation we show our novel method outperforms existing multivariate profile monitoring methods.