eprintid: 20749 rev_number: 13 eprint_status: archive userid: 2326 dir: disk0/00/02/07/49 datestamp: 2016-05-24 06:44:09 lastmod: 2016-05-25 07:04:40 status_changed: 2016-05-24 06:44:09 type: workingPaper metadata_visibility: show creators_name: Eichler, Michael title: Granger causality graphs for multivariate time series subjects: ddc-510 divisions: i-110400 keywords: Granger-causality, graphical models, spurious causality, multivariate time series abstract: In this paper, we discuss the properties of mixed graphs whichvisualize causal relationships between the components of multivariatetime series. In these Granger-causality graphs, the vertices, representing thecomponents of the time series, are connected by arrows according to theGranger-causality relations between the variables whereas lines correspondto contemporaneous conditional association. We show that the concept ofGranger-causality graphs provides a framework for the derivation ofgeneral noncausality relations relative to reduced information sets by performingsequences of simple operations on the graphs. We briefly discussthe implications for the identification of causal relationships. Finally we provide an extension of the linear concept to strong Granger-causality. date: 2001-06 id_scheme: DOI id_number: 10.11588/heidok.00020749 schriftenreihe_cluster_id: sr-10a schriftenreihe_order: 64 ppn_swb: 1656782898 own_urn: urn:nbn:de:bsz:16-heidok-207498 language: eng bibsort: EICHLERMICGRANGERCAU200106 full_text_status: public place_of_pub: Heidelberg pages: 22 citation: Eichler, Michael (2001) Granger causality graphs for multivariate time series. [Working paper] document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/20749/1/beitrag.64.pdf