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Abstract Details

Activity Number: 567
Type: Contributed
Date/Time: Wednesday, August 1, 2012 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Computing
Abstract - #305370
Title: Online Kernel Density Estimation for Nonstationary Time Series
Author(s): Yinxiao Huang*+
Companies: University of Illinois at Urbana-Champaign
Address: 1369 E Hyde Park Blvd, Chicago, IL, 60615, United States
Keywords: kernel estimation ; online learning ; time series ; nonparametric ; time-dynamic ; nonstationary
Abstract:

Online learning is concerned with the task of making real-time updates as new observations become available. In recent years, with the increasing prevalence of data-streaming sources where large data comes in a sequential manner, and the underlying density is evolving in time, the importance of dynamic estimation with the goal of capturing changing trends and features in distributions is increasingly recognized. In this talk, we shall explore online kernel estimation for a general class of nonstationary nonlinear time series under the dependence structure developed by Wu (2005). We shall discuss the asymptotic behavior of the online kernel density estimator. Bandwidth selection is addressed in terms of minimizing the intergrated MSE. Some simulation work will also be presented.


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