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ARIMA মডেল (অটোরিগ্রেসিভ ইন্টিগ্রেটেড মুভিং অ্যাভারেজ)×অটোরিগ্রেসিভ মডেল (AR)×SARIMA মডেল×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression model
উদ্ভবের বছর19701970s (popularised 1976)1970 (first edition); 1976 (revised)
প্রবর্তকGeorge Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. JenkinsBox, Jenkins, and Reinsel
ধরনTime series forecasting modelTime series modelSeasonal time series model
মৌলিক উৎসBox, 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 নামARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)AR model, AR(p) model, autoregression, AR processSARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal component
সম্পর্কিত665
সারসংক্ষেপThe 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.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: ARIMA model · Autoregressive model · SARIMA model. 2026-06-18 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare