K. Varga, NEARLY UNSTABLE AR MODELS WITH COEFFICIENT MATRICES IN JORDAN NORMAL-FORM, Computers & mathematics with applications (1987), 36(9), 1998, pp. 1-10
Nearly unstable multidimensional AR models are studied where the coeff
icient matrices are given in Jordan normal form. Weak convergence of t
he sequence of the appropriately normalized LSE's of the eigenvalues i
s proved. The limit distribution is compared with the MLE of the eigen
value of the coefficient matrix of the corresponding continuous time m
odel. (C) 1998 Elsevier Science Ltd. All rights reserved.