So sánh phương pháp

	Kiểm định Zivot-Andrews Mạnh mẽ	Kiểm định nghiệm đơn vị Phillips-Perron (PP)
Lĩnh vực	Kinh tế lượng	Kinh tế lượng
Họ	Regression model	Regression model
Năm ra đời	1992 (original); 2000s (robust variants)	1988
Người khởi xướng	Zivot & Andrews (1992); robust extensions by subsequent literature	Peter C. B. Phillips & Pierre Perron
Loại	Unit root test with endogenous structural break	Unit-root test for stationarity
Công trình gốc	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.	Phillips, P. C. B., & Perron, P. (1988). Testing for a unit root in time series regression. Biometrika, 75(2), 335–346.
Tên gọi khác	robust ZA test, ZA test with robust inference, Zivot-Andrews test with heteroscedasticity-robust critical values, structural break unit root test	PP test, Phillips-Perron unit root test, Phillips-Perron birim kök testi
Liên quan	5	4
Tóm tắt	The Robust Zivot-Andrews test extends the classic Zivot-Andrews (1992) unit root test to provide reliable inference when the error term may be heteroscedastic or non-normal. It tests whether a time series has a unit root while endogenously identifying a single structural break in the level, trend, or both, without requiring the researcher to pre-specify the break date.	The Phillips-Perron test, proposed by Peter Phillips and Pierre Perron in 1988, tests for a unit root in a time series, like the Augmented Dickey-Fuller test, but corrects for autocorrelation and heteroskedasticity in the errors non-parametrically rather than by adding lagged differences. It runs a simple Dickey-Fuller regression and then adjusts the test statistic using a long-run variance estimate, so the practitioner need not choose a lag length for the regression itself.