Generalised vec operators and the seemingly unrelated regression equations model with vector correlated disturbances

This paper introduces operators which are generalisations of the vec operator. Proper ties of these operators are discussed, some theorems involving these operators are presented and their relevance to matrix calculus demonstrated. These operators are used to facilitate the complicated differentiation required in applying classical statistical procedures to the SURE model with vector correlated disturbances. It is then shown that well-known statistical results concerning the linear regression model with autoregressive and moving average distrubances generalise to the SURE model with vector autoregressive and moving average disturbances. (C) 2000 Elsevier Science S.A. All rights reserved. JEL classification: C10; C30.