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Activity Number: 361
Type: Contributed
Date/Time: Wednesday, August 6, 2008 : 8:30 AM to 10:20 AM
Sponsor: Section on Nonparametric Statistics
Abstract - #301189
Title: Analyzing Bivariate Time Series via Nonparametric Likelihood
Author(s): Suddhasatta Acharyya*+ and Hernando Ombao
Companies: Brown University and Brown University
Address: Center for Statistical Sciences, Providence, RI, 02912,
Keywords: nonparametric-likelihood ; cross-spectrum ; coherence ; time-series ; brain-signal
Abstract:

Cross-spectrum and coherence are widely used measures for characterizing linear dependence between two time series. Inference on these quantities relies on the assumption of asymptotic Gaussian distributions. Such an assumption could be problematic when the length of the time series is not sufficiently large and when the noise innovations come from distributions with heavy tails. Nonparametric likelihood-based methods have provided competitive alternatives to standard parametric approaches for many problems. The application of such methods to the spectral domain has not been well-studied. In this paper, we shall assess the performance of nonparametric likelihood based estimation for spectral time series through simulation. We shall also apply the method to multi-channel brain signal data, and discuss possible implications.


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