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Optimal Exponentially Weighted Moving Average Of T2 Chart (#187)

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Date of Conference

July 19-21, 2023

Published In

"Leadership in Education and Innovation in Engineering in the Framework of Global Transformations: Integration and Alliances for Integral Development"

Location of Conference

Buenos Aires

Authors

García-Bustos, Sandra

Naranjo, Christian

Alvarez, Illych

Ruiz-Barzola, Omar

Mera-Intriago, Eva

Abstract

We propose a chart for normal variables that uses a statistic that is a recursive form of Hotelling’s T2 statistic. The objective of this study is to improve the performance of the T2 chart. To analyse the performance of this chart, we have developed a user-friendly program that finds the best parameters through Genetic Algorithms. This algorithm minimises the out-of-control ARL (Average Run Length) for a proposed shift in the mean vector under the restriction of a desired in-control ARL value. The proposed control chart shows better performance than the Hotelling T2 chart.

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