probability or statistics - How to define a new copula distribution family

The function CopulaDistribution can be used with the most well known kernels. I was wondering how I can add a new family of kernels in a way that it works in the same way as the current function. For example as the documentation explains:

CopulaDistribution can be used with such functions as Mean, PDF, and RandomVariate, etc.

Do I need to define all these functions myself or is there a smart way of using the functions which are already defined in Mathematica?

I wonder if anyone has done something similar and would like to share his/her experience on this.