Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   analyze some properties of the empirical diagonal and  obtain its exact distribution under independence for the two and three-dimensional cases, but the ideas proposed in this paper can be carried out to higher dimensions. The results obtained are useful in designing a nonparametric test for independence, and therefore giving solution to an open problem proposed by Alsina, Frank and Schizer [2].
['Arturo Erdely', 'José M. González-Barrios']
I am writing a research paper on a idea EXACT DISTRIBUTION UNDER INDEPENDENCE OF THE DIAGONAL SECTION OF THE EMPIRICAL COPULA
[{"from": "human", "value": "I am writing a research paper on a idea EXACT DISTRIBUTION UNDER INDEPENDENCE OF THE DIAGONAL SECTION OF THE EMPIRICAL COPULA"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   analyze some properties of the empirical diagonal and  obtain its exact distribution under independence for the two and three-dimensional cases, but the ideas proposed in this paper can be carried out to higher dimensions. The results obtained are useful in designing a nonparametric test for independence, and therefore giving solution to an open problem proposed by Alsina, Frank and Schizer [2]."}]