abstract
Under a partly linear model we study a family of robust estimates for the regression parameter and the regression function when some of the predictors take values on a Riemannian manifold. We obtain the consistency and the asymptotic normality of the proposed estimators. Simulations and an application to a real data set show the good performance of our proposal under small samples and contamination .
Acknowledgments
We wish to thank the two anonymous referees for valuable comments which led to an improved version of the original paper.