# MULTIVARIATE CONTROL CHARTS WITH A BAYESIAN NETWORK

### Sylvain Verron, Teodor Tiplica, Abdessamad Kobi

#### Abstract

The purpose of this article is to present an approach allowing the fault detection of a multivariate process with a bayesian network. As a discriminant analysis is easily modeled with a bayesian network, we will show that we we can consider the multivariate T 2 and MEWMA control charts as particular cases of the discriminant analysis. So, we give the structure of the bayesian network as well as the parameters of the network in order to detect faults in the multivariate space in the same manners as if we used multivariate control charts. The resulting bayesian network, with a computed threshold, is similar to the multivariate control charts.

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#### Paper Citation

#### in Harvard Style

Verron S., Tiplica T. and Kobi A. (2007). **MULTIVARIATE CONTROL CHARTS WITH A BAYESIAN NETWORK** . In *Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,* ISBN 978-972-8865-82-5, pages 228-233. DOI: 10.5220/0001641702280233

#### in Bibtex Style

@conference{icinco07,

author={Sylvain Verron and Teodor Tiplica and Abdessamad Kobi},

title={MULTIVARIATE CONTROL CHARTS WITH A BAYESIAN NETWORK},

booktitle={Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},

year={2007},

pages={228-233},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0001641702280233},

isbn={978-972-8865-82-5},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the Fourth International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,

TI - MULTIVARIATE CONTROL CHARTS WITH A BAYESIAN NETWORK

SN - 978-972-8865-82-5

AU - Verron S.

AU - Tiplica T.

AU - Kobi A.

PY - 2007

SP - 228

EP - 233

DO - 10.5220/0001641702280233