English

New estimates and tests of independence in some copula models

Statistics Theory 2019-03-06 v3 Statistics Theory

Abstract

We introduce new estimates and tests of independence in copula models with unknown margins using ϕ\phi-divergences and the duality technique. The asymptotic laws of the estimates and the test statistics are established both when the parameter is an interior or a boundary value of the parameter space. Simulation results show that the choice of χ2\chi^2-divergence has good properties in terms of efficiency-robustness.

Keywords

Cite

@article{arxiv.0806.4864,
  title  = {New estimates and tests of independence in some copula models},
  author = {Salim Bouzebda and Amor Keziou},
  journal= {arXiv preprint arXiv:0806.4864},
  year   = {2019}
}