Robust Estimators in Partly Linear Regression Models on Riemannian Manifolds

Details Robust Estimators in Partly Linear Regression Models on Riemannian Manifolds Robust Estimators in Partly Linear Regression Models on Riemannian Manifolds

2010-08-03

arxiv.org/abs/1008.0446v2

Mathematics

Statistics Theory

14 pages, 1 table, 3 figures, minor changes

Scientific paper

Under a partially linear models we study a family of robust estimates for the regression parameter and the regression function when some of the predictor variables take values on a Riemannian manifold. We obtain the consistency and the asymptotic normality of the proposed estimators. Also, we consider a robust cross validation procedure to select the smoothing parameter. Simulations and application to real data show the performance of our proposal under small samples and contamination.

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