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ARIMA (Autoregressive Integrated Moving Average) মডেল×অগমেন্টেড ডিকি-ফুলার (ADF) ইউনিট-রুট পরীক্ষা×KPSS স্থিরতা পরীক্ষা (KPSS Stationarity Test)×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression model
উদ্ভবের বছর201519791992
প্রবর্তকBox & Jenkins (Box-Jenkins methodology)David A. Dickey & Wayne A. FullerKwiatkowski, Phillips, Schmidt & Shin
ধরনUnivariate time-series modelUnit-root test for stationarityStationarity test (reverse of unit-root tests)
মৌলিক উৎসBox, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Dickey, D. A., & Fuller, W. A. (1979). Distribution of the estimators for autoregressive time series with a unit root. Journal of the American Statistical Association, 74(366a), 427–431. DOI ↗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. DOI ↗
অপর নামBox-Jenkins model, ARIMA(p,d,q), ARIMA ModeliADF test, Dickey-Fuller test, unit root test, Genişletilmiş Dickey-Fuller testiKwiatkowski-Phillips-Schmidt-Shin test, stationarity test, KPSS durağanlık testi
সম্পর্কিত544
সারসংক্ষেপARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015).The Augmented Dickey-Fuller (ADF) test is the most widely used test for a unit root — that is, for whether a time series is non-stationary and must be differenced before modelling. Introduced by David Dickey and Wayne Fuller in 1979 and extended by Said and Dickey in 1984 to series with higher-order autocorrelation, it regresses the change in the series on its lagged level plus lagged differences and asks whether the lagged-level coefficient is zero.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.
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ScholarGateপদ্ধতির তুলনা করুন: ARIMA · Augmented Dickey-Fuller Test · KPSS Test. 2026-06-19 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare