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ARIMA (Autoregressive Integrated Moving Average) মডেল×সাধারণ ন্যূনতম বর্গক্ষেত্র (OLS) রিগ্রেশন×ভেক্টর অটো রিগ্রেশন (VAR) মডেল×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression model
উদ্ভবের বছর201520192005
প্রবর্তকBox & Jenkins (Box-Jenkins methodology)Wooldridge (textbook treatment); classical least squaresLütkepohl (textbook treatment); Sims (1980) macroeconometric tradition
ধরনUnivariate time-series modelLinear regressionMultivariate time-series model
মৌলিক উৎসBox, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Lütkepohl, H. (2005). New Introduction to Multiple Time Series Analysis. Springer. DOI ↗
অপর নামBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeliordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuvector autoregression, VAR, VAR Modeli (Vektör Otoregresyon), vektör otoregresyon
সম্পর্কিত554
সারসংক্ষেপARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015).Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).Vector Autoregression is a multivariate time-series model that treats several interdependent series symmetrically, letting each variable depend on its own past values and the past values of all the others. It is the standard tool for capturing mutual causality and joint dynamics, developed in the modern multiple-time-series tradition treated by Lütkepohl (2005).
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ScholarGateপদ্ধতির তুলনা করুন: ARIMA · OLS Regression · VAR Model. 2026-06-19 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare