This paper establishes the almost. sure consistency of least. squares regression series estimators, in the L2-norm and the sup-norm, under very large assumptions on the underlying model. Three examples are considered in order to illustrate the general results: trigonometric series, Legendre...

The paper considers parametric and nonparametric estimation of the distribution function F. Issues of particular interest are the identification properties of this model and, in the nonparametric case, the speed of convergence of the estimator F. The latter depends upon the properties of the...