Hello, All papers I have read about time-varying copulas just produce tables, but none explains exact steps for empirical data. How do I calculate the time varying parameters for the copula? I have read Pattons work still I dont get it.

Suppose I have two returns R1 and R2 with 500 observations each. I fit some GARCH, get residuals, change it to copula data U1 and U2. I calculate kendals tau for U1 and U2 and get best fit static copula parameters.

What are the next steps for Time varying Copula? Do I split the U1 and U2 into different parts or does this has to do with Kendals Tau. Can someone please give a simplistic explanation for any one specific copula such as Gaussian or Gumbel.

Best Regards

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