Adaptive consistent unit-root tests based on autoregressive threshold model

Efficient Tests for an Autoregressive Unit Root

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N-consistent Semiparametric Regression: Unit Root Tests with Nonlinearities

We develop unit root tests using additional time series as suggested in Hansen (1995). However, we allow for the covariate to enter the model in a nonlinear fashion, so that our model is an extension of the semiparametric model analyzed in Robinson (1988). It is proven that the autoregressive parameter is estimated at rate N even though part of the model is estimated nonparametrically. The limi...

More on Unit Root Tests

Effect of Preliminary Unit Root Tests on Prediction Intervals for Gaussian Autoregressive Processes with Additive Outliers

The preliminary unit root test has been found to be a useful tool for improving the accuracy of a one-step-ahead predictor and prediction interval for the first-order autoregressive process when an autoregressive coefficient is close to one. This paper applies the aforementioned concepts of the preliminary unit root test in order to improve the efficiency of prediction intervals for the Gaussia...

Regression-based seasonal unit root tests

The contribution of this paper is three-fold. Firstly, a characterisation theorem of the sub-hypotheses comprising the seasonal unit root hypothesis is presented which provides a precise formulation of the alternative hypotheses against which regression-based seasonal unit root tests test. Secondly, it proposes regressionbased tests for the seasonal unit root hypothesis which allow a general se...