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| 極値理論 (EVT)× | 損失分布モデル× | |
|---|---|---|
| 分野≠ | ファイナンス | 保険数理学 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 2001 | 2012 |
| 提唱者≠ | Coles (textbook treatment); McNeil, Frey & Embrechts | Klugman, Panjer & Willmot |
| 種類≠ | Tail / extreme-event model | Parametric probability model |
| 原典≠ | Coles, S. (2001). An Introduction to Statistical Modeling of Extreme Values. Springer. ISBN: 978-1852334598 | Klugman, S. A., Panjer, H. H., & Willmot, G. E. (2012). Loss Models: From Data to Decisions (4th ed.). Wiley. ISBN: 978-1-118-31532-3 |
| 別名≠ | EVT, generalized extreme value, generalized Pareto distribution, peaks over threshold | Severity-Frequency Model, Aggregate Loss Model, Claim Size Distribution Model, Hasar Dağılımı Modeli |
| 関連≠ | 5 | 3 |
| 概要≠ | 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. | A Loss Distribution Model is a parametric statistical framework used in actuarial science to characterise the probabilistic behaviour of insurance claim amounts and frequencies. Developed comprehensively by Klugman, Panjer, and Willmot in their foundational text Loss Models: From Data to Decisions (first edition 1998, fourth edition 2012), these models underpin premium rating, reserving, reinsurance pricing, and regulatory capital calculations across the insurance and risk-management industries. |
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