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Простое и двойное экспоненциальное сглаживание (SES / Холт)×Модель ARIMA (авторегрессионная интегрированная скользящая средняя)×Модель пространства состояний (фильтр Калмана)×
ОбластьЭконометрикаЭконометрикаЭконометрика
СемействоRegression modelRegression modelRegression model
Год появления195720151990
Автор методаRobert G. Brown (SES); Charles C. Holt (linear trend)Box & Jenkins (Box-Jenkins methodology)Harvey; Durbin & Koopman (state space treatment); Kalman filter
ТипExponential smoothing forecasting modelUnivariate time-series modelState space time series model
Основополагающий источникBrown, 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 ↗
Другие названияSES, 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)
Связанные354
СводкаExponential 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.
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ScholarGateСравнение методов: Exponential Smoothing · ARIMA · State Space Model. Получено 2026-06-18 из https://scholargate.app/ru/compare