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Fast remote but not extreme quantiles with multiple factors. Applications to Solvency II and Enterprise Risk Management

By Matthieu Chauvigny, Laurent Devineau, Stéphane Loisel and Véronique Maume-Deschamps


For operational purposes, in Enterprise Risk Management or in insurance for example, it may be important to estimate remote (but not extreme) quantiles of some function ƒ of some random vector. The call to ƒ may be time- and resource-consuming so that one aims at reducing as much as possible the number of calls to ƒ. In this paper, we propose some ways to address this problem of general interest. We then numerically analyze the performance of the method on insurance and Enterprise Risk Management real-world case studies.

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  1. (1998). Asymptotic Statistics, Cambridge University Press. h a l -0 , v e r s i o n -J u n
  2. (2009). Construction d’un algorithme d’acc´ el´ eration de la m´ ethode des simulations dans les simulations pour le calcul du capital
  3. (2010). Ecient risk estimation via nested sequential simulation.
  4. (2010). Estimating extreme quantile regions for multivariate regularly varying distributions, talk at the Journ´ ees de Statistique de la SFDS,
  5. (2008). Estimation de quantiles g´ eom´ etriques conditionnels et non conditionnels, Soci´ et´ e Franc ¸aise de
  6. (2005). Multivariate stable densities and distribution functions: general and elliptical case, Deutsche Bundesbank’s
  7. (2010). Multivariate Stress Testing for Solvency II, talk at Risk Forum of the Institut Louis Bachelier, slides available at http://www.institutlouisbachelier.
  8. (2008). Nested Simulation in Portfolio Risk Measurement, Finance and Economics Discussion Series, Divisions of Research and Statistics and Monetary Aairs,
  9. (1996). On a geometric notation of quantiles for multivariate data.
  10. (2005). Quantitative Risk Management, Princeton Series In Finance.
  11. (2009). Risk aggregation in Solvency II: How to converge the approachesoftheinternalmodelsandthoseofthestandardformula?, BulletinFranc ¸ais d’Actuariat,
  12. (1993). Sign tests in multidimension: inference based on the geometry of the data cloud.
  13. (1999). The Bagplot: A Bivariate Boxplot,
  14. (1976). The ordering of multivariate data.

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