Provides a comprehensive theory of the approximations of quantile processes in light of recent advances, as well as some of their statistical applications.
A Preliminary Study of Quantile ProcessesA Weak Convergence of the Normed Sample Quantile ProcessStrong Approximations of the Normed Quantile ProcessTwo Approaches to Constructing Simultaneous Confidence Bounds for QuantilesWeak Convergence of Quantile Processes in Weighted Sup-Norm Metrics and Further Strong ApproximationsOn Bahadur's Representation of Sample Quantiles and on Kiefer's Theory of Deviations Between the Sample Quantile and Empirical ProcessesQuadratic Forms of the Quantile Process. Weighted Spacings and Testing for Composite Goodness-of-FitStrong Approximations of the Quantile Process of the Product-Limit EstimatorAn Invariance Principle for Nearest-Neighbor Empirical Density FunctionsA Nearest-Neighbor Estimator for the Score Function.