Statistical methods for critical scenarios in aeronautics
ESAIM. Proceedings, Tome 48 (2015), pp. 262-275.

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We present numerical results obtained on the CEMRACS project Predictive SMS proposed by Safety Line. The goal of this work was to elaborate a purely statistical method in order to reconstruct the deceleration profile of a plane during landing under normal operating conditions, from a database containing around 1500 recordings. The aim of Safety Line is to use this model to detect malfunctions of the braking system of the plane from deviations of the measured deceleration profile of the plane to the one predicted by the model. This yields to a multivariate nonparametric regression problem, which we chose to tackle using a Bayesian approach based on the use of gaussian processes similar to the one presented in [6]. We also compare this approach with other statistical methods.
DOI : 10.1051/proc/201448012

Houssam Alrachid 1, 2 ; Virginie Ehrlacher 1 ; Alexis Marceau 3 ; Karim Tekkal 3

1 Université Paris Est, CERMICS, Ecole des Ponts and INRIA, 6 & 8 avenue Blaise Pascal, 77455 Marne-la-Vallée Cedex 2, France;
2 Université Libanaise, Ecole Doctorale des Sciences et de Technologie (EDST), Campus Universitaire de Rafic Hariri, Hadath, Lebanon.
3 Safety Line, Hall B 15 rue Jean Baptiste Berlier 75013 Paris, France;
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     title = {Statistical methods for critical scenarios in aeronautics},
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Houssam Alrachid; Virginie Ehrlacher; Alexis Marceau; Karim Tekkal. Statistical methods for critical scenarios in aeronautics. ESAIM. Proceedings, Tome 48 (2015), pp. 262-275. doi : 10.1051/proc/201448012. http://geodesic.mathdoc.fr/articles/10.1051/proc/201448012/

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