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ARIMA (Autoregressive Integrated Moving Average) 모형×Copula Models (Gaussian, t, Clayton, Gumbel, Frank)×지수적 GARCH (EGARCH)×극단값 이론 (Extreme Value Theory, EVT)×
분야계량경제학재무학계량경제학재무학
계열Regression modelRegression modelRegression modelRegression model
기원 연도2015195919912001
창시자Box & Jenkins (Box-Jenkins methodology)Sklar (1959); dependence-concept treatment by Joe (1997)NelsonColes (textbook treatment); McNeil, Frey & Embrechts
유형Univariate time-series modelDependence modelConditional volatility model (asymmetric GARCH variant)Tail / extreme-event model
원전Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Sklar, 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 ↗Nelson, D. B. (1991). Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59(2), 347-370. DOI ↗Coles, S. (2001). An Introduction to Statistical Modeling of Extreme Values. Springer. ISBN: 978-1852334598
별칭Box-Jenkins model, ARIMA(p,d,q), ARIMA Modelicopulas, dependence copulas, vine copulas, Kopula Modelleri (Gaussian, t, Clayton, Gumbel, Frank)exponential GARCH, Nelson's EGARCH, asymmetric GARCH, EGARCH — Üstel GARCHEVT, generalized extreme value, generalized Pareto distribution, peaks over threshold
관련5545
요약ARIMA 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).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.EGARCH is an asymmetric GARCH variant, introduced by Nelson in 1991, that models the leverage effect in which bad news raises volatility more than good news of the same size. It captures the negative-shock asymmetry of financial return series by modelling the logarithm of the conditional variance.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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ScholarGate방법 비교: ARIMA · Copula Models · EGARCH · Extreme Value Theory. 2026-06-19에 다음에서 검색함: https://scholargate.app/ko/compare