In probability theory and statistics, subindependence is a weak form of independence.
Two random variables X and Y are said to be subindependent if the characteristic function of their sum is equal to the product of their marginal characteristic functions.
Symbolically: This is a weakening of the concept of independence of random variables, i.e. if two random variables are independent then they are subindependent, but not conversely.
If two random variables are subindependent, and if their covariance exists, then they are uncorrelated.
One instance of subindependence is when a random variable X is Cauchy with location 0 and scale s and another random variable Y=X, the antithesis of independence.