Bernstein polynomial estimation provides a robust nonparametric technique for approximating both density and distribution functions. Based on the properties of Bernstein polynomials, which uniformly ...

This is a preview. Log in through your library . Abstract The subject of this paper are polynomials in multiple non-commuting variables. For polynomials of this type orthogonal with respect to a state ...

This paper investigates the bias and the weak Bahadur representation of a local polynomial estimator of the conditional quantile function and its derivatives. The bias and Bahadur remainder term are ...