So sánh phương pháp

	Kiểm định Fourier KPSS về tính dừng với các điểm đứt gãy cấu trúc trơn tru	Kiểm định tính dừng KPSS	Kiểm định KPSS theo bảng (Kiểm định tính dừng của bảng Hadri)
Lĩnh vực	Kinh tế lượng	Kinh tế lượng	Kinh tế lượng
Họ	Regression model	Regression model	Regression model
Năm ra đời	2006	1992	2000
Người khởi xướng	Becker, Enders, and Lee	Kwiatkowski, Phillips, Schmidt & Shin	Hadri (2000), extending Kwiatkowski, Phillips, Schmidt, and Shin (1992)
Loại	Stationarity test	Stationarity test (reverse of unit-root tests)	Panel stationarity test
Công trình gốc	Becker, R., Enders, W., & Lee, J. (2006). A stationarity test in the presence of an unknown number of smooth breaks. Journal of Time Series Analysis, 27(3), 381-409.	Kwiatkowski, D., Phillips, P. C. B., Schmidt, P., & Shin, Y. (1992). Testing the null hypothesis of stationarity against the alternative of a unit root. Journal of Econometrics, 54(1–3), 159–178.	Hadri, K. (2000). Testing for stationarity in heterogeneous panel data. Econometrics Journal, 3(2), 148-161.
Tên gọi khác	Fourier KPSS, flexible Fourier stationarity test, F-KPSS, KPSS with Fourier approximation	Kwiatkowski-Phillips-Schmidt-Shin test, stationarity test, KPSS durağanlık testi	KPSS panel stationarity test, panel stationarity test, Hadri LM test, panel KPSS
Liên quan	3	4	6
Tóm tắt	The Fourier KPSS test extends the standard KPSS stationarity test by embedding a flexible Fourier series in the deterministic component of the model. This approach captures smooth, gradual structural breaks in the level or trend of a time series without requiring the researcher to specify the number or timing of those breaks, yielding more reliable inference under structural change.	The KPSS test, introduced by Kwiatkowski, Phillips, Schmidt and Shin in 1992, tests the null hypothesis that a series is stationary against the alternative that it contains a unit root — the reverse of the ADF and Phillips-Perron tests. By flipping the burden of proof, it is designed to be used alongside unit-root tests so that the two can confirm one another and expose ambiguous, borderline cases.	The Panel KPSS test, introduced by Hadri (2000), tests the null hypothesis that all series in a panel are stationary against the alternative that some or all contain a unit root. It extends the univariate KPSS framework to panel data by aggregating individual LM statistics, providing higher power than unit-root tests when most series are in fact stationary.