Monitoring Non-Normal Data with Principal Component Analysis and Adaptive Density Estimation

Gregory A. CHERRY*, S. Joe QIN

*Corresponding author for this work

Research output: Book Chapters | Papers in Conference ProceedingsConference paper (refereed)Referred Conference Paperpeer-review

7 Citations (Scopus)

Abstract

The issue of monitoring non-normally distributed data with principal component analysis (PCA) is addressed through the application of density estimation for evaluating the quality of the principal component scores. Although kernel density estimation has been previously cited as a method for monitoring such data, mixture models are proposed here in order to reduce model complexity and computational effort. Furthermore, several adaptation strategies for the density estimators are developed and suggestions are provided on their use. A rapid thermal anneal case study demonstrates how the estimators outperform the traditional Hotelling's T2 statistic due to the presence of a first wafer effect. © 2007 IEEE.
Original languageEnglish
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control
PublisherInstitute of Electrical and Electronics Engineers
Pages352-359
Number of pages8
ISBN (Electronic)9781424414970
ISBN (Print)9781424414987
DOIs
Publication statusPublished - Dec 2007
Externally publishedYes
Event46th IEEE Conference on Decision and Control (2007 CDC) - New Orleans, United States
Duration: 12 Dec 200714 Dec 2007

Publication series

NameProceedings of the IEEE Conference on Decision and Control
PublisherInstitute of Electrical and Electronics Engineers
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference46th IEEE Conference on Decision and Control (2007 CDC)
Country/TerritoryUnited States
CityNew Orleans
Period12/12/0714/12/07

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