Parameter estimation of a Levy copula of a discretely observed bivariate compound Poisson process with an application to operational risk modelling

Abstract

A method is developed to estimate the parameters of a Levy copula of a discretely observed bivariate compound Poisson process without knowledge of common shocks. The method is tested in a small sample simulation study. Also, the method is applied to a real data set and a goodness of fit test is developed. With the methodology of this work, the Levy copula becomes a realistic tool of the advanced measurement approach of operational risk.