השוואת שיטות
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| מודל אפקטי פקס של פורייה× | ניתוח נתוני פאנל פורייה× | |
|---|---|---|
| תחום | אקונומטריקה | אקונומטריקה |
| משפחה | Regression model | Regression model |
| שנת המקור≠ | 2006–2012 | 2006 (Fourier framework); panel extensions 2010s |
| הוגה השיטה≠ | Enders & Lee (building on Becker, Enders & Lee framework) | Becker, Enders, and Lee (Fourier unit root framework); extended to panel data by subsequent applied econometricians |
| סוג | Panel regression with Fourier terms | Panel regression with Fourier terms |
| מקור מכונן≠ | 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 stationary test in the presence of an unknown number of smooth breaks. Journal of Time Series Analysis, 27(3), 381-409. DOI ↗ |
| כינויים | Fourier FE model, Fourier panel fixed effects, trigonometric fixed effects regression, smooth structural break fixed effects | Fourier panel regression, smooth structural break panel model, trigonometric panel data model, Fourier-flexible panel estimator |
| קשורות | 6 | 6 |
| תקציר≠ | The Fourier fixed effects model extends standard panel fixed effects regression by augmenting the specification with low-frequency Fourier (trigonometric) terms. These sine and cosine components approximate unknown, smooth structural shifts in the time trend without requiring the researcher to pre-specify break dates, combining within-unit identification with flexible trend modelling. | Fourier panel data analysis embeds trigonometric sine and cosine terms into a standard panel regression to approximate smooth, gradual structural shifts in the data-generating process. Rather than assuming a sharp break at a known date, the Fourier approach lets the data reveal the timing and shape of any structural change through a flexible trigonometric approximation, while retaining the cross-sectional and time-series structure of panel data. |
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