In this paper we propose tests for hypotheses regarding the parameters of the deterministictrend function of a univariate time series. The tests do not require knowledge of the form ofserial correlation in the data and they are robust to strong serial correlation. The data cancontain a unit root...

In this paper we propose tests for hypothesis regarding the parameters of a the deterministic trend function of a univariate time series. The tests do not require knowledge of the form of serial correlation in the data and they are robust to strong serial correlation. The data can contain a unit...

We analyze Lagrange Multiplier (LM) tests for a shift in trend of a univariate time series at an unknown date. We focus on the class of LM statistics based on nonparametric kernel estimates of the long run variance. Extending earlier work for models with nontrending data, we develop a fixed-b...