手法を比較
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| コピュラモデル（正規分布、t分布、Clayton、Gumbel、Frank）× | 一般化自己回帰条件付き分散 (GARCH)× | |
|---|---|---|
| 分野≠ | ファイナンス | 計量経済学 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1959 | 1986 |
| 提唱者≠ | Sklar (1959); dependence-concept treatment by Joe (1997) | Tim Bollerslev |
| 種類≠ | Dependence model | Conditional volatility model |
| 原典≠ | Sklar, A. (1959). Fonctions de répartition à n dimensions et leurs marges. Publications de l'Institut Statistique de l'Université de Paris, 8, 229-231. link ↗ | Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307-327. DOI ↗ |
| 別名 | copulas, dependence copulas, vine copulas, Kopula Modelleri (Gaussian, t, Clayton, Gumbel, Frank) | GARCH(1,1), generalized ARCH, conditional volatility model, GARCH Modeli |
| 関連 | 5 | 5 |
| 概要≠ | Copula models are a family of functions that describe the dependence structure between variables separately from their individual (marginal) distributions. The foundation is Sklar's theorem (1959), which shows that any multivariate distribution can be split into its marginals plus a copula; Joe (1997) developed the modern catalogue of dependence concepts. They are central to portfolio risk and credit modelling. | GARCH is an econometric model for the time-varying volatility of financial time series, introduced by Tim Bollerslev in 1986 as a generalisation of Engle's ARCH model. It treats the conditional variance as a function of past squared shocks and past variances, capturing the volatility clustering seen in returns. |
| ScholarGateデータセット ↗ |
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