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ARMA मॉडल (ऑटोरिग्रेसिव मूविंग एवरेज)×ऑटोरेग्रेसिव मॉडल (AR)×मजबूत सामान्यीकृत न्यूनतम वर्ग (मजबूत GLS)×
क्षेत्रअर्थमितिअर्थमितिअर्थमिति
परिवारRegression modelRegression modelRegression model
उद्भव वर्ष19701970s (popularised 1976)1936 / 1980
प्रवर्तकGeorge E. P. Box and Gwilym M. JenkinsGeorge E. P. Box and Gwilym M. JenkinsAitken (GLS theory, 1936); White (robust covariance, 1980)
प्रकारTime series modelTime series modelRobust linear regression
मौलिक स्रोतBox, 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
उपनामARMA, 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
संबंधित565
सारांशThe 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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ScholarGateविधियों की तुलना करें: ARMA model · Autoregressive model · Robust GLS. 2026-06-18 को यहाँ से प्राप्त https://scholargate.app/hi/compare