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Multivariate partially linear models

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Abstract

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.

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