Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   study some properties of the distribution function of the random variable C(X, Y) when the copula of the random pair (X, Y) is M (respectively, W) - the copula for which each of X and Y is almost surely an increasing (respectively, decreasing) function of the other -, and C is any copula.  also study the distribution functions of M(X, Y) and W(X, Y) given that the joint distribution function of the random variables X and Y is any copula.
['Manuel Úbeda-Flores']
I am writing a research paper on a idea Extreme distribution functions of copulas
[{"from": "human", "value": "I am writing a research paper on a idea Extreme distribution functions of copulas"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   study some properties of the distribution function of the random variable C(X, Y) when the copula of the random pair (X, Y) is M (respectively, W) - the copula for which each of X and Y is almost surely an increasing (respectively, decreasing) function of the other -, and C is any copula.  also study the distribution functions of M(X, Y) and W(X, Y) given that the joint distribution function of the random variables X and Y is any copula."}]