English

Modelling and simulation of dependence structures in nonlife insurance with Bernstein copulas

Methodology 2020-10-30 v1 Risk Management

Abstract

In this paper we review Bernstein and grid-type copulas for arbitrary dimensions and general grid resolutions in connection with discrete random vectors possessing uniform margins. We further suggest a pragmatic way to fit the dependence structure of multivariate data to Bernstein copulas via grid-type copulas and empirical contingency tables. Finally, we discuss a Monte Carlo study for the simulation and PML estimation for aggregate dependent losses form observed windstorm and flooding data.

Keywords

Cite

@article{arxiv.2010.15709,
  title  = {Modelling and simulation of dependence structures in nonlife insurance with Bernstein copulas},
  author = {Dietmar Pfeifer and Doreen Strassburger and Joerg Philipps},
  journal= {arXiv preprint arXiv:2010.15709},
  year   = {2020}
}

Comments

paper presented on the International ASTIN Colloquium 2009, Helsinki