Assume that a time series is generated by an autoregression which has atmost one unit root. A correctly specified model, including linear time trend, is estimated by ordinary least squares, but no allowance is made for any unit root in the generating process. We investigate the impact of...

Much research has been devoted to assessing the evidence for linear trend in a time series. We discuss the statistical implications of some recent developments, with specific application to 24 time series of relative primary commodities prices

In this paper we consider the situation where the deterministic components of the processes generating individual series are linear trends and the individual series are independent I(0) or I(1) processes. We show that when those time series are used in ordinary least square regression, the...