We develop the complete bootstrapped parallel to the asymptotic theory of weighted empirical and quantile processes. Utilizing this parallel theory, we present a general body of techniques to establish the asymptotic validity of the bootstrap method of constructing confidence bands for statistical functions. These techniques are demonstrated to be applicable to the construction of asymptotic bootstrap confidence bands for a variety of concrete functions.
"Bootstrapping Empirical Functions." Ann. Statist. 17 (4) 1447 - 1471, December, 1989. https://doi.org/10.1214/aos/1176347374