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Multivariate Variance Gamma and Gaussian Dependence: a study with copulas

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Mathematical and Statistical Methods for Actuarial Sciences and Finance

Abstract

This paper explores the dynamic dependence properties of a Lévy process, the Variance Gamma, which has non-Gaussian marginal features and non-Gaussian dependence. By computing the distance between the Gaussian copula and the actual one, we show that even a non-Gaussian process, such as the Variance Gamma, can “converge” to linear dependence over time. Empirical versions of different dependence measures confirm the result over major stock indices data.

Any opinions expressed here are those of the authors and not those of Collegio Carlo Alberto.

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Luciano, E., Semeraro, P. (2010). Multivariate Variance Gamma and Gaussian Dependence: a study with copulas. In: Corazza, M., Pizzi, C. (eds) Mathematical and Statistical Methods for Actuarial Sciences and Finance. Springer, Milano. https://doi.org/10.1007/978-88-470-1481-7_20

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