Multivariate affine generalized hyperbolic distributions: An empirical investigation
The aim of this paper is to estimate multivariate affine generalized distributions (MAGH) using market data. We use the Ibovespa, CAC, DAX, FTSE, NIKKEI and S&P500 indexes. We estimate the univariate distributions, bi-variate distributions and six-dimensional distribution. Then we assess their goodness of fit using Kolmogorov distances. As an application we study the efficient frontier.
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- Fajardo, J. & Farias, A. R. & Ornelas, J. R. H., 2003. "Analyzing the Use of Generalized Hyperbolic Distributions to Value at Risk Calculations," Finance Lab Working Papers flwp_58, Finance Lab, Insper Instituto de Ensino e Pesquisa.
- Schmidt, Rafael & Hrycej, Tomas & Stutzle, Eric, 2006. "Multivariate distribution models with generalized hyperbolic margins," Computational Statistics & Data Analysis, Elsevier, vol. 50(8), pages 2065-2096, April.