The characterizations obtained in the paper represent joint distributions of dependent random variables and their copulas as sums of U-statistics in independent random variables. We show that similar ...

For example four moments and four linear combinations under general conditions (specified later) determine the distribution of n = 56 independent random variables, but not of 57.

A random variable is one whose value is unknown or a function that assigns values to each of an experiment’s outcomes. A random variable can be discrete or continuous.