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Activity Number: 279
Type: Contributed
Date/Time: Tuesday, August 4, 2009 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #304095
Title: Density Estimators for Invertible Linear Processes
Author(s): Wolfgang Wefelmeyer*+
Companies: University of Cologne
Address: Mathematical Institute, Cologne, 50931, Germany
Keywords: Residual-based kernel estimators ; convolution of density estimators ; local von Mises statistics
Abstract:

The stationary density of an invertible linear processes can be represented as a convolution of innovation-based densities. It can therefore be estimated by a convolution of residual-based kernel estimators, or by a local von Mises statistic. We show that under mild conditions such estimators converge at the parametric rate, and functional central limit theorems hold. We also discuss the possibility of constructing efficient estimators. This is joint work with Anton Schick.


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