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Modelo ARIMA (Autoregressive Integrated Moving Average)×Modelos de cópula (Gaussiana, t, Clayton, Gumbel, Frank)×Teoria do Valor Extremo (EVT)×
ÁreaEconometriaFinançasFinanças
FamíliaRegression modelRegression modelRegression model
Ano de origem201519592001
Autor originalBox & Jenkins (Box-Jenkins methodology)Sklar (1959); dependence-concept treatment by Joe (1997)Coles (textbook treatment); McNeil, Frey & Embrechts
TipoUnivariate time-series modelDependence modelTail / extreme-event model
Fonte seminalBox, 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
Outros nomesBox-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
Relacionados555
ResumoARIMA 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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ScholarGateComparar métodos: ARIMA · Copula Models · Extreme Value Theory. Recuperado em 2026-06-19 de https://scholargate.app/pt/compare