Asymptotic Normality of the Additive Regression Components for Continuous Time Processes

Details Asymptotic Normality of the Additive Regression Components for Continuous Time Processes Asymptotic Normality of the Additive Regression Components for Continuous Time Processes

2008-02-23

arxiv.org/abs/0802.3469v1

Mathematics

Statistics Theory

Scientific paper

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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