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Spectrum inference for replicated spatial locally time-harmonizable time series
journal contribution
posted on 2023-06-10, 06:58 authored by John Aston, Dominique Dehay, Anna E Dudek, Jean-Marc Freyermuth, Denes Szucs, Lincoln CollingIn this paper, we develop tools for statistical inference on replicated realizations of spatiotemporal processes that are locally time-harmonizable. Our method estimates both the rescaled spatial time-varying Loève-spectrum and the spatial time-varying dual-frequency coherence function under realistic modeling assumptions. We construct confidence intervals for these parameters of interest using the Circular Block Bootstrap method and prove its consistency. We illustrate the application of our methodology on a dataset arising from an experiment in neuropsychology. From EEG recordings, our method allows studying the dynamic functional connectivity within the brain associated to visual working memory performance.
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Publication status
- Published
File Version
- Published version
Journal
Electronic Journal of StatisticsISSN
1935-7524Publisher
Institute of Mathematical StatisticsExternal DOI
Issue
1Volume
17Page range
1-40Department affiliated with
- Psychology Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2023-05-04First Open Access (FOA) Date
2023-05-04First Compliant Deposit (FCD) Date
2023-05-03Usage metrics
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