English

Testing equality between two-sample dependence structure using Bernstein polynomials

Statistics Theory 2023-12-19 v2 Statistics Theory

Abstract

Tests of equality of copulas between two samples are introduced and studied using the empirical Bernstein copula process. Three statistics are proposed and their asymptotic properties are established. Besides, a subsampling Bernstein version method is investigated and compared with multiplier bootstrap. Simulation study showed that the Bernstein tests outperform the tests based on the empirical copula.

Keywords

Cite

@article{arxiv.2303.02510,
  title  = {Testing equality between two-sample dependence structure using Bernstein polynomials},
  author = {Guanjie Lyu and Mohamed Belalia},
  journal= {arXiv preprint arXiv:2303.02510},
  year   = {2023}
}

Comments

26 pages, 3 tables