Semi Parametric Estimations of rotating and scaling parameters for aeronautic loads

TL;DR

This paper introduces a semi-parametric method for estimating rotation and scaling parameters in noisy curve registration, with proven statistical properties and demonstrated effectiveness through simulations and aeronautic data.

Contribution

It proposes a novel M-estimation approach for curve registration that ensures consistency and asymptotic normality, validated by simulations and real aeronautic data.

Findings

Estimates are consistent and asymptotically normal.

Method performs well on simulated data.

Effective application demonstrated on aeronautic loads data.

Abstract

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.