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SARIMA মডেল×ARIMA মডেল (অটোরিগ্রেসিভ ইন্টিগ্রেটেড মুভিং অ্যাভারেজ)×অটো রিগ্রেসিভ মুভিং অ্যাভারেজ (ARMA) মডেল×অটোরিগ্রেসিভ মডেল (AR)×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression modelRegression model
উদ্ভবের বছর1970 (first edition); 1976 (revised)197019701970s (popularised 1976)
প্রবর্তকBox, Jenkins, and ReinselGeorge Box and Gwilym JenkinsGeorge E. P. Box and Gwilym M. JenkinsGeorge E. P. Box and Gwilym M. Jenkins
ধরনSeasonal time series modelTime series forecasting modelTime series modelTime 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. (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: 978-0816211043
অপর নামSARIMA, seasonal ARIMA, Box-Jenkins seasonal model, ARIMA with seasonal componentARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)AR model, AR(p) model, autoregression, AR process
সম্পর্কিত5656
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.The ARMA(p,q) model describes a stationary time series as a combination of two components: an autoregressive part that regresses the current value on its own past p values, and a moving average part that accounts for past q error terms. It is the foundational framework of the Box-Jenkins methodology for univariate time series modelling and short-run forecasting.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.
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ScholarGateপদ্ধতির তুলনা করুন: SARIMA model · ARIMA model · ARMA model · Autoregressive model. 2026-06-18 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare