  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. We
also compare this approach with other statistical methods.
