Bernstein-type approximation using the beta-binomial distribution

PALLINI, ANDREA; Dipartimento Di Statistica E Matematica Applicata All’Economia Università Di Pisa
The Bernstein-type approximation using the beta-binomial distribution is proposed and studied. Both univariate and multivariate Bernstein-type approximations are studied. The uniform convergence and the degree of approximation are studied. The Bernsteintype estimators of smooth functions of population means are also proposed and studied.