方法对比
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| 傅里叶 Zivot-Andrews 单位根检验× | 傅里叶KPSS平稳性检验（含平滑结构性断点）× | |
|---|---|---|
| 领域 | 计量经济学 | 计量经济学 |
| 方法族 | Regression model | Regression model |
| 起源年份≠ | 2012 | 2006 |
| 提出者≠ | Enders & Lee (2012), extending Zivot & Andrews (1992) | Becker, Enders, and Lee |
| 类型≠ | Unit root test with smooth structural break | Stationarity test |
| 开创性文献≠ | Enders, W., & Lee, J. (2012). A unit root test using a Fourier series to approximate smooth breaks. Oxford Bulletin of Economics and Statistics, 74(4), 574-599. DOI ↗ | 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. DOI ↗ |
| 别名 | Fourier ZA test, FZA unit root test, Fourier structural break unit root test, smooth structural break ADF test | Fourier KPSS, flexible Fourier stationarity test, F-KPSS, KPSS with Fourier approximation |
| 相关≠ | 6 | 3 |
| 摘要≠ | The Fourier Zivot-Andrews test extends the classic Zivot-Andrews (1992) unit root test by replacing sharp, single structural break dummies with a low-frequency Fourier approximation, allowing the test to accommodate smooth, gradual, and multiple unknown breaks in the level or trend of a series. | 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. |
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