Likelihood analysis of the I(2) model

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

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.
TidsskriftScandinavian Journal of Statistics
Udgave nummer4
Sider (fra-til)433-462
Antal sider30
StatusUdgivet - 1997

ID: 9969227