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.
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