Spectrum inference for replicated spatial locally time-harmonizable time series

In 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 realisti...

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Published inElectronic journal of statistics Vol. 17; no. 1; pp. 1371 - 1410
Main Authors Aston, John, Dehay, Dominique, Dudek, Anna E., Freyermuth, Jean-Marc, Szucs, Denes, Colling, Lincoln
Format Journal Article
LanguageEnglish
Published Shaker Heights, OH : Institute of Mathematical Statistics 01.01.2023
Subjects
Mathematics
Statistics
ElectroEncephaloGraphy
functional connectivity
Harmonizable spatiotemporal processes
nonparametric spectral analysis
Circular Block Bootstrap
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Abstract In 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 to study the dynamic functional connectivity within the brain associated to visual working memory performance.
AbstractList In 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 to study the dynamic functional connectivity within the brain associated to visual working memory performance.
Author Dehay, Dominique
Freyermuth, Jean-Marc
Aston, John
Dudek, Anna E.
Szucs, Denes
Colling, Lincoln
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  organization: Dept. of Psychology, University of Sussex, U.K
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10.1016/j.sigpro.2005.06.016
10.4236/psych.2013.48093
10.1137/1.9780898719246
10.1002/9780470182833
10.1080/01621459.2018.1476238
10.1111/j.1467-9892.2011.00767.x
10.1214/aos/1176347265
10.1007/978-1-4612-2642-0
10.1007/978-1-4757-3803-2
10.1016/j.sigpro.2005.05.002
10.1155/2011/156869
10.1111/jtsa.12408
10.3390/brainsci7050049
10.1016/j.sigpro.2015.09.011
10.1371/journal.pone.0022357
10.1016/j.ijpsycho.2005.03.018
10.1002/hbm.20759
10.1109/ICDSP.2014.6900745
10.1016/B978-0-444-53858-1.00013-2
10.1126/science.164.3877.328
10.1137/1104031
10.1002/9781119405818
10.1016/S0378-3758(01)00130-6
10.18637/jss.v099.i11
10.1089/brain.2011.0008
10.1007/978-1-4419-0320-4
10.1016/j.tics.2013.06.006
10.1038/ncomms2237
10.3389/fnsys.2015.00173
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Keywords ElectroEncephaloGraphy
functional connectivity
Harmonizable spatiotemporal processes
nonparametric spectral analysis
Circular Block Bootstrap
Language English
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Title Spectrum inference for replicated spatial locally time-harmonizable time series
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