Linganisha mbinu

	Kipimo cha Ukoanifu wa Johansen chenye Kuvunjika kwa Muundo	Kipimo cha Zivot-Andrews cha Mapumziko ya Kiunzi
Nyanja	Ekonometriki	Ekonometriki
Familia	Regression model	Regression model
Mwaka wa asili	2000–2001	1992
Mwanzilishi	Johansen (1988); structural-break extensions by Saikkonen & Lütkepohl (2000) and Lütkepohl, Müller & Saikkonen (2001)	Eric Zivot and Donald W. K. Andrews
Aina	Cointegration test / VECM estimation	Unit root test with endogenous structural break
Chanzo asilia	Johansen, S. (1988). Statistical analysis of cointegration vectors. Journal of Economic Dynamics and Control, 12(2–3), 231–254.	Zivot, E., & Andrews, D. W. K. (1992). Further evidence on the great crash, the oil-price shock, and the unit-root hypothesis. Journal of Business & Economic Statistics, 10(3), 251–270.
Majina mbadala	Johansen cointegration with breaks, break-robust Johansen test, cointegration test with regime shifts, structural change Johansen VECM	ZA test, Zivot-Andrews unit root test, endogenous structural break unit root test, ZA structural break test
Zinazohusiana	5	6
Muhtasari	The structural break Johansen cointegration test extends the standard maximum-likelihood Johansen procedure to settings where the multivariate time series exhibits level shifts or trend breaks. By incorporating dummy variables or shift regressors into the VECM, the test determines the cointegrating rank without confounding genuine long-run relationships with regime changes.	The Zivot-Andrews (ZA) test is a unit root test that endogenously identifies the most likely location of a single structural break in a time series. Unlike the standard ADF test, it does not require the researcher to pre-specify when the break occurred, making it robust to data-driven regime shifts such as policy changes, financial crises, or major economic events.