A simple non-parametric goodness-of-fit test for elliptical copulas

Abstract

In this paper, we propose a simple non-parametric goodness-of-fit test for elliptical copulas of any dimension. It is based on the equality of Kendall’s tau and Blomqvist’s beta for all bivariate margins. Nominal level and power of the proposed test are investigated in a Monte Carlo study. An empirical application illustrates our goodness-of-fit test at work.

Keywords

• blomqvist’s beta
• elliptical copulas
• goodness-of-fit test
• kendall’s tau