Robust estimator in partly linear regression models on Riemannian manifolds

GUILLERMO HENRY; DANIELA RODRIGUEZ

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

TAYLOR & FRANCIS INC

Lugar: Londres; Año: 2014

0361-0926

Under a partly linear model we study a family of robust estimates for the regressionparameter and the regression function when some of the predictors take values on a Rieman-nian manifold. We obtain the consistency and the asymptotic normality of the proposedestimators. Simulations and an application to a real dataset show the good performanceof our proposal under small samples and contamination.