Details

Autor(en) / Beteiligte

• Belalia, M.
• Bouezmarni, T.
• Lemyre, F. C.
• Taamouti, A.

Titel

Testing independence based on Bernstein empirical copula and copula density

Ist Teil von

• Journal of nonparametric statistics, 2017-04, Vol.29 (2), p.346-380

Ort / Verlag

Abingdon: Taylor & Francis

Erscheinungsjahr

2017

Link zum Volltext

Quelle

Taylor & Francis Journals Auto-Holdings Collection

Beschreibungen/Notizen

• In this paper we provide three nonparametric tests of independence between continuous random variables based on the Bernstein copula distribution function and the Bernstein copula density function. The first test is constructed based on a Cramér-von Mises divergence-type functional based on the empirical Bernstein copula process. The two other tests are based on the Bernstein copula density and use Cramér-von Mises and Kullback-Leibler divergence-type functionals, respectively. Furthermore, we study the asymptotic null distribution of each of these test statistics. Finally, we consider a Monte Carlo experiment to investigate the performance of our tests. In particular we examine their size and power which we compare with those of the classical nonparametric tests that are based on the empirical distribution function.