手法を比較

	コピュラモデル（正規分布、t分布、Clayton、Gumbel、Frank）	Value at Risk (VaR)（リスク価値）
分野	ファイナンス	ファイナンス
系統	Regression model	Regression model
提唱年	1959	2007
提唱者	Sklar (1959); dependence-concept treatment by Joe (1997)	Jorion (textbook benchmark); popularised by RiskMetrics / J.P. Morgan
種類	Dependence model	Financial risk measure
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.	Jorion, P. (2007). Value at Risk: The New Benchmark for Managing Financial Risk (3rd ed.). McGraw-Hill. ISBN: 978-0071464956
別名	copulas, dependence copulas, vine copulas, Kopula Modelleri (Gaussian, t, Clayton, Gumbel, Frank)	VaR, value-at-risk, delta-normal VaR, historical simulation VaR
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.	Value at Risk is a financial risk measure that estimates the maximum loss a position or portfolio could suffer over a fixed holding period at a given confidence level. It is the standard benchmark in risk management and regulatory capital calculations, developed in the textbook tradition of Jorion (2007) and the Basel market-risk framework.