The simulation result of Nunes, Kuan, and Newbold suggests that it is possible to estimate a spurious break for a regression model with I(1) disturbances. In this note, we provide a rigorous proof for this phenomenon.

In this paper, we derive a general Hajek-Renyi type inequality for vector-valued martingales. Several well known inequalities are shown to be special cases of this general inequality. We also derive a similar inequality for dependent sequences. We then apply the inequality to the problem of...