Multivariate partially linear models
Univariate partially linear regression models have been widely discussed in recent years. In this paper, we consider a multivariate partially linear regression model under independent errors, where the response variable is d-dimensional. We obtain the asymptotic bias and variance for both the parametric and the nonparametric components. Moreover, we investigate the asymptotic normality of the LS estimator of the parametric component.
| Year of publication: |
2006
|
|---|---|
| Authors: | Pateiro-López, Beatriz ; González-Manteiga, Wenceslao |
| Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 76.2006, 14, p. 1543-1549
|
| Publisher: |
Elsevier |
| Keywords: | Multivariate regression Partially linear models Kernel smoothing |
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