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Fourier KPSS Test for Stationarity with Smooth Structural Breaks×প্যানেল কেপিএসএস পরীক্ষা (হাদরি প্যানেল স্থিরতা পরীক্ষা)×এক-কাঠামোগত বিভেদ সহ জিভট-অ্যান্ড্রুস ইউনিট-রুট পরীক্ষা×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelHypothesis test
উদ্ভবের বছর200620001992
প্রবর্তকBecker, Enders, and LeeHadri (2000), extending Kwiatkowski, Phillips, Schmidt, and Shin (1992)Eric Zivot & Donald Andrews
ধরনStationarity testPanel stationarity testSequential unit-root test with endogenous break-point selection
মৌলিক উৎসBecker, 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 ↗Hadri, K. (2000). Testing for stationarity in heterogeneous panel data. Econometrics Journal, 3(2), 148-161. DOI ↗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. DOI ↗
অপর নামFourier KPSS, flexible Fourier stationarity test, F-KPSS, KPSS with Fourier approximationKPSS panel stationarity test, panel stationarity test, Hadri LM test, panel KPSSZA Test, Zivot-Andrews Break Test, Endogenous Break Unit-Root Test, Zivot-Andrews Birim Kök Testi
সম্পর্কিত363
সারসংক্ষেপThe 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 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.The Zivot-Andrews (ZA) test, introduced by Eric Zivot and Donald Andrews in 1992, is a sequential unit-root test that allows for a single structural break at an unknown date. It extends the augmented Dickey-Fuller framework by endogenously selecting the break point that provides the strongest evidence against the unit-root null hypothesis, making it particularly useful for macroeconomic and financial time series that may have been disrupted by events such as policy changes, financial crises, or supply shocks.
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