Quantile Processes with Statistical Applications.

Abstract

A Preliminary Study of Quantile Processes A Weak Convergence of the Normed Sample Quantile Process Strong Approximations of the Normed Quantile Process Two Approaches to Constructing Simultaneous Confidence Bounds for Quantiles Weak Convergence of Quantile Processes in Weighted Sup-Norm Metrics and Further Strong Approximations On Bahadur's Representation of Sample Quantiles and on Kiefer's Theory of Deviations Between the Sample Quantile and Empirical Processes Quadratic Forms of the Quantile Process. Weighted Spacings and Testing for Composite Goodness-of-Fit Strong Approximations of the Quantile Process of the Product-Limit Estimator An Invariance Principle for Nearest-Neighbor Empirical Density Functions A Nearest- Neighbor Estimator for the Score Function.