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GARCH মডেল (ভলাটিলিটি পূর্বাভাস)×ARIMA (Autoregressive Integrated Moving Average) মডেল×সরল ও দ্বৈত সূচকীয় মসৃণীকরণ (SES / Holt)×সাধারণ ন্যূনতম বর্গক্ষেত্র (OLS) রিগ্রেশন×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression modelRegression model
উদ্ভবের বছর1986201519572019
প্রবর্তকTim BollerslevBox & Jenkins (Box-Jenkins methodology)Robert G. Brown (SES); Charles C. Holt (linear trend)Wooldridge (textbook treatment); classical least squares
ধরনConditional volatility modelUnivariate time-series modelExponential smoothing forecasting modelLinear regression
মৌলিক উৎসBollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Brown, 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 নামGARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini)Box-Jenkins model, ARIMA(p,d,q), ARIMA ModeliSES, 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
সম্পর্কিত5535
সারসংক্ষেপThe Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model, introduced by Tim Bollerslev in 1986, models the time-varying conditional variance of a financial time series. It captures volatility clustering and the ARCH effect, and is the standard tool for estimating risk and volatility in return series.ARIMA 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).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: GARCH Model · ARIMA · Exponential Smoothing · OLS Regression. 2026-06-19 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare