English

Bernstein Polynomials and n-Copulas

Statistics Theory 2009-03-06 v1 Statistics Theory

Abstract

We give derivations of some basic results for the Bernstein approximation in nn variables that are useful in investigating copulas. It is shown that Bernstein approximations of copulas are again copulas. We exhibit a stochastic interpretation for the Bernstein approximation of a copula.

Keywords

Cite

@article{arxiv.0903.1000,
  title  = {Bernstein Polynomials and n-Copulas},
  author = {MD Taylor},
  journal= {arXiv preprint arXiv:0903.1000},
  year   = {2009}
}
R2 v1 2026-06-21T12:18:42.594Z