Robust Estimators in Partly Linear Regression Models on Riemannian Manifolds

Guillermo Henry and Daniela Rodriguezs

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 14, 4835-4851

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 .

Date: 2023
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DOI: 10.1080/03610926.2013.775302

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