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SARIMA মডেল×ARIMA মডেল (অটোরিগ্রেসিভ ইন্টিগ্রেটেড মুভিং অ্যাভারেজ)×অটোরিগ্রেসিভ মডেল (AR)×Moving Average (MA) Model×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression modelRegression model
উদ্ভবের বছর1970 (first edition); 1976 (revised)19701970s (popularised 1976)1970
প্রবর্তকBox, Jenkins, and ReinselGeorge Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. JenkinsBox and Jenkins
ধরনSeasonal time series modelTime series forecasting modelTime series modelLinear time series model
মৌলিক উৎসBox, G. E. P., Jenkins, G. M., & Reinsel, G. C. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0130607744Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗Box, G. E. P., & Jenkins, G. M. (1976). Time Series Analysis: Forecasting and Control (revised ed.). Holden-Day. ISBN: 978-0816211043Box, 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, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal componentARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)AR model, AR(p) model, autoregression, AR processMA model, MA(q) process, moving-average process, Box-Jenkins MA
সম্পর্কিত5665
সারসংক্ষেপSARIMA 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.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.An autoregressive model of order p — AR(p) — expresses the current value of a time series as a linear function of its own p most recent past values plus a white-noise error. It is the building block of the Box-Jenkins family of time-series models and is widely used for forecasting stationary economic and financial series.The Moving Average model of order q — written MA(q) — expresses the current value of a time series as a linear combination of the current and past random shocks (innovations). Unlike the AR model which uses lagged values of the series itself, the MA model uses lagged error terms, making it well-suited for capturing short-lived disturbances that dissipate over q periods.
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ScholarGateপদ্ধতির তুলনা করুন: SARIMA model · ARIMA model · Autoregressive model · Moving Average Model. 2026-06-18 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare