قارن الطرق

	نموذج بيانات اللوحة الديناميكية لفورييه	تحليل بيانات البانل باستخدام متسلسلة فورييه
المجال	الاقتصاد القياسي	الاقتصاد القياسي
العائلة	Regression model	Regression model
سنة النشأة	2004-2012	2006 (Fourier framework); panel extensions 2010s
صاحب الطريقة	Enders & Lee (2012); Becker, Enders & Hurn (2004)	Becker, Enders, and Lee (Fourier unit root framework); extended to panel data by subsequent applied econometricians
النوع	Dynamic panel model with Fourier approximation	Panel regression with Fourier terms
المصدر التأسيسي	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.	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.
الأسماء البديلة	Fourier dynamic panel, Fourier DPDM, smooth break dynamic panel, trigonometric dynamic panel	Fourier panel regression, smooth structural break panel model, trigonometric panel data model, Fourier-flexible panel estimator
ذات صلة	6	6
الملخص	The Fourier dynamic panel data model extends standard dynamic panel specifications by incorporating low-frequency trigonometric (Fourier) terms to flexibly capture smooth, gradual structural breaks or time-varying patterns in the data, without requiring knowledge of the exact number or timing of breaks.	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.