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Нелинейная модель SARIMA×Модель ARIMA (авторегрессионная интегрированная скользящая средняя)×
ОбластьЭконометрикаЭконометрика
СемействоRegression modelRegression model
Год появления1990–20001970
Автор методаTong (1990) for threshold nonlinear extensions; Franses & van Dijk (2000) for empirical finance applicationsGeorge Box and Gwilym Jenkins
ТипNonlinear time series modelTime series forecasting model
Основополагающий источникTong, H. (1990). Non-linear Time Series: A Dynamical System Approach. Oxford University Press. ISBN: 978-0198523000Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day. link ↗
Другие названияNL-SARIMA, nonlinear seasonal ARIMA, threshold SARIMA, smooth transition SARIMAARIMA, Box-Jenkins model, integrated ARMA, ARIMA(p,d,q)
Связанные36
СводкаThe Nonlinear SARIMA model extends the classical Seasonal ARIMA framework by replacing the linear conditional mean function with a nonlinear specification — such as threshold switching or smooth transition — while retaining seasonal differencing and lag structure. It is used when seasonal time series exhibit regime-dependent dynamics, asymmetric adjustment, or other nonlinear patterns that a linear model cannot capture.The ARIMA(p,d,q) model is the standard workhorse for univariate time series forecasting. It combines autoregressive terms (past values), differencing to induce stationarity, and moving average terms (past shocks) into a unified linear framework. Developed by Box and Jenkins (1970), it remains one of the most widely applied models in econometrics and applied statistics.
ScholarGateНабор данных
  1. v1
  2. 2 Источники
  3. PUBLISHED
  1. v1
  2. 2 Источники
  3. PUBLISHED

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ScholarGateСравнение методов: Nonlinear SARIMA Model · ARIMA model. Получено 2026-06-17 из https://scholargate.app/ru/compare