| DATE: | Thursday, October 14, 2004 |
| TIME: | 4:30 - 5:30 PM |
| PLACE: | LN 2205 |
| SPEAKER: | David Mason, University of Delaware |
| TITLE: | Uniform in Bandwidth Consistency of Kernel--Type Function Estimators |
We introduce a general method to prove uniform in bandwidth consistency of kernel--type function estimators. Examples include the kernel density estimator, the Nadaraya--Watson regression estimator and the conditional empirical process. Our results may be useful to establish uniform consistency of data--driven bandwidth kernel--type function estimators. We shall pay special attention to the potential use our results to proving the uniform consistency of local polynomial regression estimators.