On New Method of Multivariate Extreme Values Modeling Basedon Threshold Approach

Аннотация

We introduce generalized threshold approach for multivariate extreme values modeling.
Using this approach we suggest multivariate generalized Pareto distribution definition. Bivariate
generalized Pareto distribution based on Pickands representation has been examined
with different statistical dependence function models. Numerical experiments with stock indexes
data have been performed showing high efficiency of suggested models and calculation
algorithms.