In his somewhat informal derivation, Akaike (in "Proceedings of the 2nd International Symposium Information Theory" (C. B. Petrov and F. Csaki, Eds.), pp. 610-624, Academici Kiado, Budapest, 1973) obtained AIC's parameter-count adjustment to the log-likelihood as a bias correction: it yields an...

One computationally efficient procedure for obtaining maximum likelihood parameter estimates for an ARMA process is based on the Gram-Schmidt orthogonalization of the space generated by the finite series of observations. This paper shows that the asymptotic distribution of the autocorrelations...