We study large-sample properties of likelihood ratio tests of the unit root hypothesis in an autoregressive model of arbitrary, finite order. Earlier research on this testing problem has developed likelihood ratio tests in the autoregressive model of order one, but resorted to a plug-in approach...

This paper proves consistency and asymptotic normality for the conditional-sum-of-squares (CSS) estimator in fractional time series models. The models are parametric and quite general. The novelty of the consistency result is that it applies to an arbitrarily large set of admissible parameter...

This paper provides a continuous record interpretation of the block local to unity asymptotics proposed recentlyby Phillips, Moon and Xiao (2001). It also demonstrates that in the case of homogeneous dynamics and a fixednumber of blocks, the new asymptotic approximation coincides with the...