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Literature DB >> 23858488

Unified asymptotic theory for all partial directed coherence forms.

L A Baccalá¹, C S N de Brito, D Y Takahashi, K Sameshima.

Abstract

This paper presents a unified mathematical derivation of the asymptotic behaviour of the three main forms of partial directed coherence (PDC). Numerical examples are used to contrast PDC, gPDC (generalized PDC) and iPDC (information PDC) as to meaning and applicability and, more importantly, to show their essential statistical equivalence insofar as connectivity inference is concerned.

Keywords: Granger causality inference; asymptotic theory; connectivity detection; partial directed coherence

Mesh：

Year: 2013 PMID： 23858488 DOI： 10.1098/rsta.2012.0158

Source DB: PubMed Journal: Philos Trans A Math Phys Eng Sci ISSN： 1364-503X Impact factor: 4.226

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Cited

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3. Globally conditioned Granger causality in brain-brain and brain-heart interactions: a combined heart rate variability/ultra-high-field (7 T) functional magnetic resonance imaging study.

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Journal: Philos Trans A Math Phys Eng Sci Date: 2016-05-13 Impact factor: 4.226

Unified asymptotic theory for all partial directed coherence forms.

1. Assessing causality in brain dynamics and cardiovascular control.

2. Enhancing dynamical signatures of complex systems through symbolic computation.

3. Globally conditioned Granger causality in brain-brain and brain-heart interactions: a combined heart rate variability/ultra-high-field (7 T) functional magnetic resonance imaging study.

4. Electrophysiological Brain Connectivity: Theory and Implementation.

5. Multivariate model for cooperation: bridging social physiological compliance and hyperscanning.

6. On the statistical performance of Granger-causal connectivity estimators.

7. Local dimension-reduced dynamical spatio-temporal models for resting state network estimation.

8. On the interpretability and computational reliability of frequency-domain Granger causality.

9. Multivariate Granger causality unveils directed parietal to prefrontal cortex connectivity during task-free MRI.