Likelihood Analysis of the I(2) Model
Scandinavian Journal of Statistics, 1997, 24, 4, 433-462
JOHANSEN, Soren, Likelihood Analysis of the I(2) Model, Scandinavian Journal of Statistics, 1997, 24, 4, 433-462 - https://hdl.handle.net/1814/16768
Retrieved from Cadmus, EUI Research Repository
The I(2) model is defined as a submodel of the general vector autoregressive model, by two reduced rank conditions. The model describes stochastic processes with stationary second difference. A parametrization is suggested which makes Likelihood inference feasible. Consistency of the maximum Likelihood estimator is proved, and the asymptotic distribution of the maximum likelihood estimator is given. It is shown that the asymptotic distribution is either Gaussian, mixed Gaussian or, in some cases, even more complicated.
Cadmus permanent link: https://hdl.handle.net/1814/16768
Full-text via DOI: 10.1111/1467-9469.00074
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