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Timothy J. Vogelsang, Pierre Perron, Additional Tests for a Unit Root Allowing for a Break in the Trend Function at an Unknown Time, International Economic Review, Vol. 39, No. 4, Symposium on Forecasting and Empirical Methods in Macroeconomics and Finance (Nov., 1998), pp. 1073-1100
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Vogelsang et al. (1998) studied this question.
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