Dear R Community,

I am currently student at the Vienna University of Technology writing my Diploma thesis on causality in time series and doing some analyses of time series in R. I have the following questions:

(1) Is there a function in R to estimate the PARTIAL spectral coherence of a multivariate time series? If yes, how does this work? Is there an test in R if the partial spectral coherence between two variables is zero? The functions I know (spectrum, etc.) only work to estimate the spectral coherence.

(2) For some causality analysis I need an estimate of the inverse of the spectral density matrix of a multivariate time series. Is there any possibility in R to get this? Actually, I would be happy if I could at least get a functional estimate of the spectral density matrix. I guess this should work because R can plot the kernel density estimator of the spectral density, so it should be possible to extract the underlying function estimate.

(3) Is there any possibility to do Granger Causality in R? That means fitting an VAR model and testing if some coefficients are zero.

Thank you very much in advance!

Best Regards,
Alexander
T

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