Copula Application Among other things, I am working on dependency structures for the reliability analysis of river embankments and use Copulas for this purpose.
I have 3 questions about this:

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*Strucure

I am not yet clear when I should use the D-Vine, C-Vine or R-Vine structure? At the moment I only use the D-Vines because they are nicely structured. Do you have any literature on this or a tip on which structure is best for which application?


*Pseudo-observations

I am also trying to transform my pseudo-observations back for the Copula application in order to be able to simulate any hydrographs (incl. dependency structure). Unfortunately, that doesn't work yet either. Maybe you have a short tip here.


*Plots

I am still looking for the optimal package to plot Copula applications in a nice and simple way.
I would be very pleased to receive feedback from you.

For the structure of the vine copula, there is no restriction of the type that you should use. It is completely based on you. If your data is time series, then D-vine is the best for you. If you need to connect your data with particular variable, then C-vine is the choice.
2-Transform your data back to original data requires knowing the marginal distribution of your variables, which almost unknown in real life application. You can do this in R using rvinecopulib package.
3- VineCopula is well-known R package that can help you with the computational process of vine copula model.
