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ARIMA (Autoregressive Integrated Moving Average) মডেল×এক্সপোনেনশিয়াল GARCH (EGARCH)×সরল ও দ্বৈত সূচকীয় মসৃণীকরণ (SES / Holt)×সাধারণ ন্যূনতম বর্গক্ষেত্র (OLS) রিগ্রেশন×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression modelRegression model
উদ্ভবের বছর2015199119572019
প্রবর্তকBox & Jenkins (Box-Jenkins methodology)NelsonRobert G. Brown (SES); Charles C. Holt (linear trend)Wooldridge (textbook treatment); classical least squares
ধরনUnivariate time-series modelConditional volatility model (asymmetric GARCH variant)Exponential smoothing forecasting modelLinear regression
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: 978-1118675021Nelson, D. B. (1991). Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59(2), 347-370. DOI ↗Brown, R. G. (1959). Statistical Forecasting for Inventory Control. McGraw-Hill. link ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
অপর নামBox-Jenkins model, ARIMA(p,d,q), ARIMA Modeliexponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCHSES, Holt's linear trend method, exponential smoothing forecasting, Basit ve Çift Üstel Düzleştirme (SES / Holt)ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
সম্পর্কিত5435
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).EGARCH is an asymmetric GARCH variant, introduced by Nelson in 1991, that models the leverage effect in which bad news raises volatility more than good news of the same size. It captures the negative-shock asymmetry of financial return series by modelling the logarithm of the conditional variance.Exponential smoothing is a family of basic time-series forecasting models in which each new observation updates a smoothed estimate by a weighting parameter. Simple exponential smoothing (SES), introduced by Robert G. Brown in 1959, forecasts series with a stable level, while Holt's double exponential smoothing, introduced by Charles C. Holt in 1957, adds a trend term using the parameters alpha and beta.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).
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ScholarGateপদ্ধতির তুলনা করুন: ARIMA · EGARCH · Exponential Smoothing · OLS Regression. 2026-06-19 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare