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Minimum Lagrange Multiplier Unit Root Test with Two Structural Breaks

Junsoo Lee1,2; Mark C. Strazicich3

1 University of Central Florida · 2 University of Alabama · 3 University of North Texas

The Review of Economics and Statistics 2003 open access

The endogenous two-break unit root test of Lumsdaine and Papell is derived assuming no structural breaks under the null. Thus, rejection of the null does not necessarily imply rejection of a unit root per se, but may imply rejection of a unit root without break. Similarly, the alternative does not necessarily imply trend stationarity with breaks, but may indicate a unit root with breaks. In this paper, we propose an endogenous two-break Lagrange multiplier unit root test that allows for breaks under both the null and alternative hypotheses. As a result, rejection of the null unambiguously implies trend stationarity.

DOI
10.1162/003465303772815961
Volume
85 (4)
Pages
1082-1089
Language
en
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