We apply the idea of using reversed time series to improve the power of Johansen tests. We suggest computationally simple variants of the trace and maximum eigenvalue statistics and establish their limit distributions. Both are shown, via simulation, to yield nontrivial power gains.

Although the t-ratio variant of the Dickey-Fuller test is the most commonly applied unit root test in practical applications, it has been known for some time that readily implementable, more powerful modifications are available. We explore the large sample properties of five of these modified...

We analyse the case where a unit root test is based on a Dickey-Fuller regression whose only deterministic term is a fixed intercept. Suppose, however, as could well be the case, that the actual data generating process includes a broken linear trend. It is shown theoretically, and verified...