Galton used quantiles more than a hundred years ago in describing data. Tukey and Parzen used them in the 60s and 70s in describing populations. Since then, the authors of many papers, both theoretical and practical, have used various aspects of quantiles in their work. Until now, however, no one put all the ideas together to form what turns out to

chapter 1|42 pages

An Overview

chapter 2|18 pages

Describing a Sample

chapter 3|22 pages

Describing a Population

chapter 4|34 pages

Statistical Foundations

chapter 5|14 pages

Foundation Distributions

chapter 6|24 pages

Distributional Model Building

chapter 7|18 pages

Further Distributions

chapter 8|20 pages


chapter 9|30 pages


chapter 10|14 pages


chapter 11|14 pages


chapter 12|18 pages

Regression Quantile Models

chapter 13|18 pages

Bivariate Quantile Distributions

chapter 14|6 pages

A Postscript