# Why do we have $C(u,v) = V_{C}([0,u]\times[0,v])$?

by user1337   Last Updated August 14, 2019 03:19 AM

Given that $$C:[0,1]\times[0,1]\rightarrow[0,1]$$ is a copula and $$V_{C}([0,u]\times[0,v])$$ is the $$C$$-volume of the rectangle $$[0,u]\times[0,v]$$, why $$C(u,v) = V_{C}([0,u]\times[0,v])$$?

I know it is a quite simple question, but I am not able to answer it.

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