Simple correlated arma processes

The generalization of the simple correlated autoregressive processes introduced by RISAGEE ( 1980, 1981 ) is presented in the paper. The correlation structure of the model is investigated for the purpose of its identification. Various methods of estimation are discussed. Verification of the model is based on the portmanteau statistics whose behaviour is derived using the results for the simple correlated autoregressive processes and the prin¬ciple 0f Box and PIEBCE concerning the relation of estimated residual correlations in auto-regressive and ARMA models.