Comparing Distributions

  • Olivier┬áThas

Part of the Springer Series in Statistics book series (SSS)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. One-Sample Problems

    1. Front Matter
      Pages 1-1
    2. Olivier Thas
      Pages 3-17
    3. Olivier Thas
      Pages 19-47
    4. Olivier Thas
      Pages 49-75
    5. Olivier Thas
      Pages 77-122
  3. Two-Sample and K-Sample Problems

    1. Front Matter
      Pages 161-161
    2. Olivier Thas
      Pages 163-169
    3. Olivier Thas
      Pages 171-199
    4. Olivier Thas
      Pages 201-219
    5. Olivier Thas
      Pages 221-270
    6. Olivier Thas
      Pages 271-296
    7. Olivier Thas
      Pages 311-319
  4. Back Matter
    Pages 321-353

About this book


Comparing Distributions refers to the statistical data analysis that encompasses the traditional goodness-of-fit testing. Whereas the latter includes only formal statistical hypothesis tests for the one-sample and the K-sample problems, this book presents a more general and informative treatment by also considering graphical and estimation methods. A procedure is said to be informative when it provides information on the reason for rejecting the null hypothesis. Despite the historically seemingly different development of methods, this book emphasises the similarities between the methods by linking them to a common theory backbone.

This book consists of two parts. In the first part statistical methods for the one-sample problem are discussed. The second part of the book treats the K-sample problem. Many sections of this second part of the book may be of interest to every statistician who is involved in comparative studies.

The book gives a self-contained theoretical treatment of a wide range of goodness-of-fit methods, including graphical methods, hypothesis tests, model selection and density estimation. It relies on parametric, semiparametric and nonparametric theory, which is kept at an intermediate level; the intuition and heuristics behind the methods are usually provided as well. The book contains many data examples that are analysed with the cd R-package that is written by the author. All examples include the R-code.

Because many methods described in this book belong to the basic toolbox of almost every statistician, the book should be of interest to a wide audience. In particular, the book may be useful for researchers, graduate students and PhD students who need a starting point for doing research in the area of goodness-of-fit testing. Practitioners and applied statisticians may also be interested because of the many examples, the R-code and the stress on the informative nature of the procedures.

Olivier Thas is Associate Professor of Biostatistics at Ghent University. He has published methodological papers on goodness-of-fit testing, but he has also published more applied work in the areas of environmental statistics and genomics.


data analysis goodness-of-fit tests graphical methods nonparametric statistics rank tests semiparametic statistics statistical method

Authors and affiliations

  • Olivier┬áThas
    • 1
  1. 1.Department of Applied Mathematics Biometrics, and Process ControlGhent UniversityGentBelgium

Bibliographic information