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ARIMA(自己回帰和分移動平均)モデル×TBATS×
分野計量経済学計量経済学
系統Regression modelRegression model
提唱年20152011
提唱者Box & Jenkins (Box-Jenkins methodology)De Livera, Hyndman & Snyder
種類Univariate time-series modelExponential smoothing state space model
原典Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021De Livera, A. M., Hyndman, R. J. & Snyder, R. D. (2011). Forecasting Time Series with Complex Seasonal Patterns Using Exponential Smoothing. Journal of the American Statistical Association, 106(496), 1513-1527. DOI ↗
別名Box-Jenkins model, ARIMA(p,d,q), ARIMA Modelitrigonometric exponential smoothing, multiple seasonal exponential smoothing, complex seasonal exponential smoothing, TBATS — Çoklu Mevsimsel Üstel Düzleştirme
関連53
概要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).TBATS is an innovations state space forecasting model, introduced by De Livera, Hyndman and Snyder (2011), that combines a Box-Cox transformation, ARMA errors and trigonometric (Fourier) seasonal terms. It is built to handle continuous time series with several nested seasonal cycles at once — for example hourly data that also repeats daily, weekly and yearly.
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ScholarGate手法を比較: ARIMA · TBATS. 2026-06-20に以下より取得 https://scholargate.app/ja/compare