Quantile Processes with Statistical Applications

Table of Contents

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.