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Table 1 Comparison between transfer entropy and Granger causality

From: Information and phase transitions in socio-economic systems

Feature

Transfer entropy

Granger causality

Parametric

No

Yes: linear VAR model

Predictive

No

Yes

Frequency decomposition

No

Yes

Transformation-invariance

Nonlinear filter

Linear filter

Estimation in sample

Hard

Easy

Model order estimation

Unknown

AIC, BIC, cross-validation…

Statistical distribution

Unknown

Known (asymptotic)

Software implementation

Ad hoc

Many available packages