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...

We consider the problem of hypothesis testing in a modified version of the stochastic integration and cointegration framework of Harris, McCabe and Leybourne (2002). This nonlinear setup allows for volatility in excess of that catered for by the standard integration/cointegration paradigm...