Semi Parametric Estimations of rotating and scaling parameters for aeronautic loads

Edouard Fournier (1) , Stéphane Grihon (2) , Thierry Klein (3)

1 ENAC - Ecole Nationale de l'Aviation Civile
2 Airbus [France]
3 IMT - Institut de Mathématiques de Toulouse UMR5219

In this paper, we perform registration of noisy curves. We provide an appropriate model in estimating the rotation and scaling parameters to adjust a set of curves through a M-estimation procedure. We prove the consistency and the asymptotic normality of our estimators. Numerical simulation and a real life aeronautic example are given to illustrate our methodology.

Mots clés: Semiparametric model; Registration of curves; Industrial monitoring MSC Classification: 62F12; 62P30; 62F30

Domaines: Applications [stat.AP]; Autres [stat.ML]

Edouard Fournier, Stéphane Grihon, Thierry Klein. Semi Parametric Estimations of rotating and scaling parameters for aeronautic loads. 2018. ⟨hal-01879135v1⟩