Abstract
For a nonparametric regression problem with errors in variables, we consider a shape-restricted regression function estimate, which does not require the choice of bandwidth parameters. We demonstrate that this estimate is consistent for classes of regression function candidates, which are closed under the graph topology.
Acknowledgements
The authors thank the anonymous referee for valuable hints and suggestions. This material is based upon work supported in part by the US Army Research Laboratory and the US Army Research Office under grant number W911NF1010246.