A note on “Convergence rates and asymptotic normality for series estimators”: uniform convergence rates

This paper establishes improved uniform convergence rates for series estimators. Series estimators are least-squares fits of a regression function where the number of regressors depends on sample size. I will specialize my results to the cases of polynomials and regression splines. These results improves upon results obtained earlier by Newey, yet fail to attain the optimal rates of convergence.