When you think of a vector, many people probably call up Vector's definition (from Despicable Me). He says: It's a mathematical term. A quantity represented by an arrow with both direction and ...

In this paper, we study the precise large deviations of sums of two-dimensional random vectors with two dependent and real-valued components. In the presence of heavy tails, we obtain some uniformly ...

Consider a Gaussian vector z = (x′, y′)′, consisting of two sub-vectors x and y with dimensions p and q, respectively. With n independent observations of z, we study the correlation between x and y, ...