In this paper we generalize the KPSS-type test to allow for two structural breaks. Seven models have been de…ned depending on the way that the structural breaks a¤ect the time series behaviour. The paper derives the limit distribution of the test both under the null and the alternative hypotheses and conducts a set of simulation experiments to analyse the performance in …nite samples. Keywords:...

We discuss the increasing literature on misspecifying structural breaks or more general trends as long range dependence We consider tests on structural breaks in the long memory regression model as well as the behaviour of estimators of the memory parameter when structural breaks or trends are in the data but long memory is not It can be seen that it is hard to distinguish deterministic trends ...

In this paper we suggest a number of statistical tests based on neural network models, that are designed to be powerful against structural breaks in otherwise stationary time series processes while allowing for a variety of nonlinear specifications for the dynamic model underlying them. It is clear that in the presence of nonlinearity standard tests of structural breaks for linear models may no...

This paper introduces various consistent tests for the null hypothesis of stationarity with possibly unknown multiple structural break points against the alternative of nonstationarity that can be applied to multiple as well as univariate time series. These tests can be applied to either partial or pure structural breaks. It is shown that tests for stationarity become divergent when structural ...