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অটো রিগ্রেসিভ মুভিং অ্যাভারেজ (ARMA) মডেল×অটোরিগ্রেসিভ মডেল (AR)×Robust Generalized Least Squares (Robust GLS)×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression model
উদ্ভবের বছর19701970s (popularised 1976)1936 / 1980
প্রবর্তকGeorge E. P. Box and Gwilym M. JenkinsGeorge E. P. Box and Gwilym M. JenkinsAitken (GLS theory, 1936); White (robust covariance, 1980)
ধরনTime series modelTime series modelRobust linear regression
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: 978-0816211043Greene, W. H. (2012). Econometric Analysis (7th ed.). Pearson. Chapter 9: The Generalized Regression Model and Heteroscedasticity. ISBN: 978-0131395381
অপর নামARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)AR model, AR(p) model, autoregression, AR processrobust generalized least squares, GLS with robust standard errors, heteroscedasticity-consistent GLS, HC-GLS
সম্পর্কিত565
সারসংক্ষেপThe 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.Robust GLS extends classical Generalized Least Squares by pairing GLS coefficient estimation with heteroscedasticity- and autocorrelation-consistent (HAC) standard errors, or by using M-estimation within the GLS framework. It corrects for non-spherical errors — heteroscedasticity, autocorrelation, or both — while also guarding inference against misspecification of the error covariance structure.
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ScholarGateপদ্ধতির তুলনা করুন: ARMA model · Autoregressive model · Robust GLS. 2026-06-18 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare