no. 3
A Random Field Model and Decision Support in Industrial Production
[Un modèle par champ aléatoire et un outil d’aide à la décision en production industrielle]
Journal de la société française de statistique, Tome 156 (2015) no. 3, pp. 1-26.

Nous proposons un nouvel outil d’aide à la décision pour l’étude d’un phénomène inconnu modélisé par un champ aléatoire représentant simultanément notre connaissance et notre manque d’information. Cet outil est la distribution d’une variable aléatoire appelée probabilité du risque de défaillance. Avant de préciser la définition de cet objet, nous décrivons un contexte industriel dans lequel un problème décisionnel apparaît et nous examinons des constructions bayésiennes de modèles par champs aléatoires.

We propose a new tool of decision support in front of a globally unknown phenomenon which is modeled by a random field representing simultaneously our knowledge and our lack of information. This tool is the distribution of a random variable called failure risk probability. Before giving the precise definition of this object, we describe an industrial context in which the decision problem occurs and we discuss Bayesian random field model constructions.

Keywords: kriging, Bayesian inference, Gaussian processes mixture prior, multivariate t-distribution, uncertainty analysis, manufacturing yield evaluation, decision support
Mot clés : krigeage, inférence bayésienne, mélange de processus gaussiens, distribution de Student multivariée, analyse d’incertitude, évaluation de rendement industriel, aide à la décision 
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Oger, Julie; Lesigne, Emmanuel; Leduc, Philippe. A Random Field Model and Decision Support in Industrial Production. Journal de la société française de statistique, Tome 156 (2015) no. 3, pp. 1-26. http://www.numdam.org/item/JSFS_2015__156_3_1_0/

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