# Extreme dependence for multivariate data

*Damien Bosc* and
*Alfred Galichon*

*Quantitative Finance*, 2014, vol. 14, issue 7, 1187-1199

**Abstract:**
This article proposes a generalized notion of extreme multivariate dependence between two random vectors which relies on the extremality of the cross-covariance matrix between these two vectors. Using a partial ordering on the cross-covariance matrices, we also generalize the notion of positive upper dependence. We then propose a means to quantify the strength of the dependence between two given multivariate series and to increase this strength while preserving the marginal distributions. This allows for the design of stress-tests of the dependence between two sets of financial variables that can be useful in portfolio management or derivatives pricing.

**Date:** 2014

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http://hdl.handle.net/10.1080/14697688.2014.886777 (text/html)

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Working Paper: Extreme dependence for multivariate data (2010)

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**Persistent link:** https://EconPapers.repec.org/RePEc:taf:quantf:v:14:y:2014:i:7:p:1187-1199

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