Asymptotic Normality of the Additive Regression Components for Continuous Time Processes

Mohammed Debbarh; Bertrand Maillot

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arXiv · 0802.3469

Asymptotic Normality of the Additive Regression Components for Continuous Time Processes

Mohammed Debbarh·Bertrand Maillot

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Abstract

In multivariate regression estimation, the rate of convergence depends on the dimension of the regressor. This fact, known as the curse of the dimensionality, motivated several works. The additive model, introduced by Stone (10), offers an efficient response to this problem. In the setting of continuous time processes, using the marginal integration method, we obtain the quadratic convergence rate and the asymptotic normality of the components of the additive model.

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Mohammed Debbarh, Bertrand Maillot. 2008-02-23. Asymptotic Normality of the Additive Regression Components for Continuous Time Processes. https://arxiv.org/abs/0802.3469

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