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ARIMA (Autoregressive Integrated Moving Average) মডেল×সরল ও দ্বৈত সূচকীয় মসৃণীকরণ (SES / Holt)×GARCH×সাধারণ ন্যূনতম বর্গক্ষেত্র (OLS) রিগ্রেশন×Seasonal ARIMA (SARIMA)×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression modelRegression modelRegression model
উদ্ভবের বছর20151957198620192015
প্রবর্তকBox & Jenkins (Box-Jenkins methodology)Robert G. Brown (SES); Charles C. Holt (linear trend)Tim BollerslevWooldridge (textbook treatment); classical least squaresBox & Jenkins (seasonal extension of ARIMA)
ধরনUnivariate time-series modelExponential smoothing forecasting modelConditional volatility modelLinear regressionSeasonal 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: 978-1118675021Brown, R. G. (1959). Statistical Forecasting for Inventory Control. McGraw-Hill. link ↗Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307-327. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Box, G.E.P., Jenkins, G.M., Reinsel, G.C. & Ljung, G.M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021
অপর নামBox-Jenkins model, ARIMA(p,d,q), ARIMA ModeliSES, Holt's linear trend method, exponential smoothing forecasting, Basit ve Çift Üstel Düzleştirme (SES / Holt)GARCH(1,1), generalized ARCH, conditional volatility model, GARCH Modeliordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuseasonal ARIMA, Box-Jenkins seasonal model, SARIMA — Mevsimsel ARIMA
সম্পর্কিত53555
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).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.GARCH is an econometric model for the time-varying volatility of financial time series, introduced by Tim Bollerslev in 1986 as a generalisation of Engle's ARCH model. It treats the conditional variance as a function of past squared shocks and past variances, capturing the volatility clustering seen in returns.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).SARIMA is a seasonal extension of the Box-Jenkins ARIMA model that adds seasonal differencing and seasonal autoregressive and moving-average terms. Developed within the Box, Jenkins, Reinsel and Ljung framework (5th edition, 2015), it forecasts series whose pattern repeats on a yearly, monthly, or weekly period.
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ScholarGateপদ্ধতির তুলনা করুন: ARIMA · Exponential Smoothing · GARCH · OLS Regression · SARIMA. 2026-06-18 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare