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সরল ও দ্বৈত সূচকীয় মসৃণীকরণ (SES / Holt)×ARIMA (Autoregressive Integrated Moving Average) মডেল×স্টেট স্পেস মডেল (কালম্যান ফিল্টার)×স্ট্রাকচারাল টাইম সিরিজ মডেল (বেসিক স্ট্রাকচারাল মডেল)×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression modelRegression model
উদ্ভবের বছর1957201519901990
প্রবর্তকRobert G. Brown (SES); Charles C. Holt (linear trend)Box & Jenkins (Box-Jenkins methodology)Harvey; Durbin & Koopman (state space treatment); Kalman filterAndrew C. Harvey
ধরনExponential smoothing forecasting modelUnivariate time-series modelState space time series modelState-space (unobserved components) time series model
মৌলিক উৎসBrown, R. G. (1959). Statistical Forecasting for Inventory Control. McGraw-Hill. link ↗Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Harvey, A. C. (1990). Forecasting, Structural Time Series Models and the Kalman Filter. Cambridge University Press. DOI ↗Harvey, A. C. (1990). Forecasting, Structural Time Series Models and the Kalman Filter. Cambridge University Press. ISBN: 978-0521405737
অপর নামSES, Holt's linear trend method, exponential smoothing forecasting, Basit ve Çift Üstel Düzleştirme (SES / Holt)Box-Jenkins model, ARIMA(p,d,q), ARIMA Modelistate space, Kalman filter, unobserved components model, Durum Uzayı Modeli (State Space / Kalman Filter)BSM, basic structural model, unobserved components model, Yapısal Zaman Serisi Modeli (BSM)
সম্পর্কিত3544
সারসংক্ষেপExponential 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.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).A state space model is a general time series framework that describes a series through unobserved (latent) state variables linked by a measurement equation and a transition equation, with the states estimated in real time by the Kalman filter. Developed in the state space tradition of Harvey (1990) and Durbin & Koopman (2012), it nests ARIMA and exponential smoothing as special cases.The Structural Time Series Model, in its Basic Structural Model (BSM) form, is Andrew Harvey's state-space approach that decomposes a series into separate stochastic trend, seasonal, cyclical, and irregular components. Developed in Harvey's 1990 treatment, it is prized for interpretability and component decomposition where ARIMA only delivers a black-box fit.
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ScholarGateপদ্ধতির তুলনা করুন: Exponential Smoothing · ARIMA · State Space Model · Structural Time Series Model. 2026-06-18 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare