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কাঠামোগত বিভ্রাট SARIMA মডেল×ARIMA মডেল (অটোরিগ্রেসিভ ইন্টিগ্রেটেড মুভিং অ্যাভারেজ)×বাই-পেরন মাল্টিপল স্ট্রাকচারাল ব্রেক টেস্ট×SARIMA মডেল×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelHypothesis testRegression model
উদ্ভবের বছর1970s–1998197019981970 (first edition); 1976 (revised)
প্রবর্তকBox & Jenkins (SARIMA); Bai & Perron (structural break detection)George Box and Gwilym JenkinsJushan Bai & Pierre PerronBox, Jenkins, and Reinsel
ধরনTime series model with regime shiftsTime series forecasting modelSequential hypothesis test for multiple structural breaksSeasonal time series model
মৌলিক উৎসBai, J., & Perron, P. (1998). Estimating and testing linear models with multiple structural changes. Econometrica, 66(1), 47–78. DOI ↗Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Bai, J., & Perron, P. (1998). Estimating and testing linear models with multiple structural changes. Econometrica, 66(1), 47–78. DOI ↗Box, G. E. P., Jenkins, G. M., & Reinsel, G. C. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0130607744
অপর নামSARIMA with structural breaks, break-augmented SARIMA, piecewise SARIMA, SARIMA-SBARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)Bai-Perron Multiple Break Test, Multiple Structural Change Test, Sequential Structural Break Test, Çoklu Yapısal Kırılma TestiSARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal component
সম্পর্কিত3625
সারসংক্ষেপThe Structural Break SARIMA model extends the classical Seasonal ARIMA framework by explicitly detecting and accommodating abrupt, permanent shifts in the level, trend, or seasonal pattern of a time series. Rather than forcing a single SARIMA specification across the entire sample, the model partitions the series at estimated breakpoints and fits separate SARIMA processes to each resulting segment, producing more accurate forecasts and reliable inference in the presence of regime changes.The ARIMA(p,d,q) model is the standard workhorse for univariate time series forecasting. It combines autoregressive terms (past values), differencing to induce stationarity, and moving average terms (past shocks) into a unified linear framework. Developed by Box and Jenkins (1970), it remains one of the most widely applied models in econometrics and applied statistics.The Bai-Perron test, introduced by Jushan Bai and Pierre Perron in their landmark 1998 Econometrica paper, is a least-squares-based procedure for detecting, estimating, and testing the number of structural breaks in a linear regression model estimated on time-series data. Unlike single-break tests, it simultaneously identifies multiple change-points in a sample, providing economists and empirical researchers with a rigorous, data-driven way to locate parameter instability across time.SARIMA extends ARIMA by adding seasonal autoregressive and moving-average operators to capture repeating patterns at fixed intervals — such as monthly, quarterly, or annual cycles. Denoted SARIMA(p,d,q)(P,D,Q)s, it is the standard workhorse for univariate seasonal time series forecasting in econometrics, economics, and official statistics.
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ScholarGateপদ্ধতির তুলনা করুন: Structural Break SARIMA Model · ARIMA model · Bai-Perron Test · SARIMA model. 2026-06-18 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare