Let [mu] be a function defined on an interval [a, b] of finite length. Suppose that y1, ..., yn are uncorrelated observations satisfying E(yj) = [mu](tj) and var(yj) = [sigma]2, j = 1, ..., n, where the tj's are fixed design points. Asymptotic (as n -- [infinity]) approximations of the...

Upper bounds are derived for the rates of convergence for trigonometric series regression estimators of an unknown, smooth regression function. The resulting rates depend on the regression function satisfying certain periodic boundary conditions that may not hold in practice. To overcome such...