Despite its slow convergence, the use of the Bernstein polynomial approximation is becoming more frequent in Statistics … Bernstein polynomials is proposed, which takes advantage of results about the eigenstructure of the Bernstein operator to refine …

> </InlineEquation>. Using Bernstein polynomial approximations, we prove the central limit theorem for linear spectral statistics of …

) densities. This model is more general than the Bernstein polynomial density model which is well known to provide good … approximations to any density with finite support and it is shown that, as for the Bernstein polynomial model, the trigonometric … illustrated with real data sets and the results are compared with those obtained using Bernstein polynomials and mixtures of von …

based. This paper proposes nonparametric estimation of the density copula for α-mixing data using Bernstein polynomials. We … study the asymptotic properties of the Bernstein density copula, i.e., we provide the exact asymptotic bias and variance, we …