Vector Autoregressive Models:
Vector autoregressive models describe statistical properties of vector time series . Vector autoregressive models generalize the models used in ordinary autoregression .
Consider a vector time series :

In general, vector autoregressive models assume the some functional relation between the current value V(i) and N previous values:

where F() is a vector function of N vector arguments, n(i) is a vector of additive noise. The integer N here is called the order of the autoregressive model.