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ARIMA (Autoregressive Integrated Moving Average) Modell×Kopulamodeller (Gaussisk, t, Clayton, Gumbel, Frank)×Extremvärdesteori (EVT)×
ÄmnesområdeEkonometriFinansiell ekonomiFinansiell ekonomi
FamiljRegression modelRegression modelRegression model
Ursprungsår201519592001
UpphovspersonBox & Jenkins (Box-Jenkins methodology)Sklar (1959); dependence-concept treatment by Joe (1997)Coles (textbook treatment); McNeil, Frey & Embrechts
TypUnivariate time-series modelDependence modelTail / extreme-event model
UrsprungskällaBox, 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 ↗Coles, S. (2001). An Introduction to Statistical Modeling of Extreme Values. Springer. ISBN: 978-1852334598
AliasBox-Jenkins model, ARIMA(p,d,q), ARIMA Modelicopulas, dependence copulas, vine copulas, Kopula Modelleri (Gaussian, t, Clayton, Gumbel, Frank)EVT, generalized extreme value, generalized Pareto distribution, peaks over threshold
Närliggande555
SammanfattningARIMA 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.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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ScholarGateJämför metoder: ARIMA · Copula Models · Extreme Value Theory. Hämtad 2026-06-19 från https://scholargate.app/sv/compare