The empirical process of the residuals from general autoregressions is investigated. If an intercept is included in the regression, the empirical process is asymptotically Caussian and free of nuissance parameters. This contrasts the known result that in the unit root case without intercept the...

In this paper we present a general result concerning the convergence to stochastic integrals with non-linear integrands. The key finding represents a generalization of Chan and Wei`s (1988) Theorem 2.4. and that of Ibragimov and Phillips` (2004) Theorem 8.2. This result is necessary for...