Mathematics – Statistics Theory
Scientific paper
2010-03-08
Mathematics
Statistics Theory
7 pages, 2 figures
Scientific paper
In partially linear models the dependence of the response y on (x^T,t) is modeled through the relationship y=\x^T \beta+g(t)+\epsilon where \epsilon is independent of (x^T,t). In this paper, estimators of \beta and g are constructed when the explanatory variables t take values on a Riemannian manifold. Our proposal combine the flexibility of these models with the complex structure of a set of explanatory variables. We prove that the resulting estimator of \beta is asymptotically normal under the suitable conditions. Through a simulation study, we explored the performance of the estimators. Finally, we applied the studied model to an example based on real dataset.
Gonzalez-Manteiga Wenceslao
Henry Guillermo
Rodriguez Daniela
No associations
LandOfFree
Partially linear models on Riemannian manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Partially linear models on Riemannian manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Partially linear models on Riemannian manifolds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-676881