Volume 128, Number 2, October 2019
|Number of page(s)||7|
|Published online||02 January 2020|
Spectral causalities within dynamical effects framework
Saratov Branch of V.A. Kotel'nikov Institute of RadioEngineering and Electronics of the Russian Academy of Sciences 38 Zelyonaya St., Saratov 410019, Russia
Received: 21 July 2019
Accepted: 1 November 2019
Spectral causalities are now widely used in physical and biological sciences to characterize directional couplings from time series. In particular, the Granger-Geweke spectrum is a frequency decomposition of a Wiener-Granger causality measure. However, there are considerable difficulties in their interpretation, so quite hot debates still arise. Here, the problem is studied within the dynamical effects framework: spectral effects are introduced as long-term effects of relevant parameter interventions. Quantitative relationships between the GG spectrum and certain spectral effects are established for linear stochastic differential equations. It is also argued that in general existing spectral causalities do not unambiguously relate to spectral effects. The latter are shown to be as estimable from time series, at least for some simple systems.
PACS: 02.50.Ey – Stochastic processes / 05.45.Tp – Time series analysis
© EPLA, 2020
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.