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High dimensional modelling and simulation with asymmetric normal mixtures

Tsanakas, A. ORCID: 0000-0003-4552-5532 & Smith, A. (2007). High dimensional modelling and simulation with asymmetric normal mixtures (Actuarial Research Paper No. 182). London: Faculty of Actuarial Science & Insurance, City University London.


A family of multivariate distributions, based on asymmetric normal mixtures, is introduced in order to model the dependence among insurance and financial risks. The model allows for straight-forward parameterisation via a correlation matrix and enables the modelling of radially asymmetric dependence structures, which are often of interest in risk management applications. Dependence is characterised by showing that increases in correlation values produce models which are ordered in the supermodular order sense. Explicit expressions for the Spearman and Kendall rank correlation coefficients are derived to enable calibration in a copula framework. The model is adapted to simulation in very high dimensions by using Kronecker products, enabling specification of a correlation matrix and an increase in computational speed

Publication Type: Monograph (Working Paper)
Publisher Keywords: Dependence, copula, normal mixtures, Kronecker product, Monte-Carlo simulation.
Subjects: H Social Sciences > HD Industries. Land use. Labor > HD61 Risk Management
Q Science > QA Mathematics
Departments: Bayes Business School > Actuarial Science & Insurance > Actuarial Research Reports
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