We investigate the behaviour of rolling and recursive augmented Dickey-Fuller (ADF) tests against processes which display changes in persistence. We show that the power of the tests depend crucially on the window width and warm up parameter for the rolling and recursive procedures respectively,...

In this paper, we suggest a new set of regression-based statistics for testing the seasonal unit root null hypothesis. These tests are based on combining conventional Hylleberg et al. (1990) -type seasonal unit root test statistics calculated from both forward and reverse estimation of the...

Conventional unit root tests are known to be unreliable in the presence of permanent volatility shifts. In this paper, we propose a new approach to unit root testing which is valid in the presence of a quite general class of permanent variance changes which includes single and multiple (abrupt...

This paper builds on the existing literature on tests of the null hypothesis of deterministic seasonality in a univariate time-series process. Under the assumption of independent Gaussian errors, we derive the class of locally weighted mean most powerful invariant tests against unit roots at the...

We show that changes in the innovation covariance matrix of a vector of series can generate spurious rejections of the null hypothesis of co-integration when applying standard residual-based co-integration tests. A bootstrap solution to the inference problem is suggested which is shown to...

We show that the minimal forward (reverse) recursive unit tests of Banerjee, Lumsdaine and Stock ["Journal of Business and Economics Statistics" (1992) Vol. 10, pp. 271-288] are consistent against the alternative of a change in persistence from "I"(0) to "I"(1) ["I"(1) to "I"(0)]. However, these...