Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1146983 | Journal of Multivariate Analysis | 2009 | 16 Pages |
Abstract
We propose a new test for independence of error and covariate in a nonparametric regression model. The test statistic is based on a kernel estimator for the L2L2-distance between the conditional distribution and the unconditional distribution of the covariates. In contrast to tests so far available in literature, the test can be applied in the important case of multivariate covariates. It can also be adjusted for models with heteroscedastic variance. Asymptotic normality of the test statistic is shown. Simulation results and a real data example are presented.
Related Topics
Physical Sciences and Engineering
Mathematics
Numerical Analysis
Authors
Natalie Neumeyer,