We show that the copula of a pair of random variables X, Y is invariant under a.s. strictly increasing transformations of X and Y, and that any property of the joint distribution function of X and Y ...

In a number of situations we are faced with the problem of determining efficient estimates of the mean and variance of a distribution specified by (i) a non-zero probability that the variable assumes ...

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.