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| ARIMA（自己回帰和分移動平均）モデル× | 極値理論 (EVT)× | |
|---|---|---|
| 分野≠ | 計量経済学 | ファイナンス |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 2015 | 2001 |
| 提唱者≠ | Box & Jenkins (Box-Jenkins methodology) | Coles (textbook treatment); McNeil, Frey & Embrechts |
| 種類≠ | Univariate time-series model | Tail / extreme-event 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: 978-1118675021 | Coles, S. (2001). An Introduction to Statistical Modeling of Extreme Values. Springer. ISBN: 978-1852334598 |
| 別名≠ | Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeli | EVT, generalized extreme value, generalized Pareto distribution, peaks over threshold |
| 関連 | 5 | 5 |
| 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). | Extreme Value Theory is a statistical framework for modelling the rare events that live in the tail of a probability distribution. As developed in Coles (2001) and applied to risk by McNeil, Frey & Embrechts (2005), it offers two standard routes: the Generalized Extreme Value (GEV) distribution for block maxima and the Generalized Pareto Distribution (GPD), used in the peaks-over-threshold approach, for exceedances above a high threshold. |
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