University of Groningen
Relationship between Granger non-causality and network graph of state-space representations
Jozsa, Monika
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Publication date: 2019
Link to publication in University of Groningen/UMCG research database
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Jozsa, M. (2019). Relationship between Granger non-causality and network graph of state-space representations. University of Groningen.
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Propositions
belonging to the thesis
Relationship between Granger non-causality and
network graph of state-space representations
of
Monika Jozsa
1. The statistical properties of a process can shed light on the internal connec-tions of a model describing that process.
2. For certain linear and bilinear dynamical systems that can be decomposed into two subsystems, the information flow between these subsystems is con-sistent with the causal relationship between their output processes. (Chap-ters 2 and 6)
3. If the interconnection structure of a complex linear dynamical system is transitive and acyclic, then this is consistent with the causal relationship between the output processes of the subsystems. (Chapter 4)
4. Propositions 2 and 3 have the potential to reconstruct the internal connec-tions of the system in question.
5. Knowing the internal connections of a model can help to estimate the model parameters in a distributed way.
6. Achievements stand on two legs, ideas and deeds, and what makes the two legs move is belief.
7. Based on a limited statistics, the purpose of a Dutch lunch break is not to be hungry, whereas the purpose of the French lunch break is not to have anything left to talk about.
