Springer Series in Statistics

Comparing Distributions

Authors: Thas, Olivier

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eBook 117,69 €
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  • ISBN 978-0-387-92710-7
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Hardcover 145,59 €
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  • ISBN 978-0-387-92709-1
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Softcover 145,59 €
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  • ISBN 978-1-4614-2449-9
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  • The final prices may differ from the prices shown due to specifics of VAT rules
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.

Reviews

From the reviews:

“Comparing distributions means mainly goodness-of-fit testing. … A lot of details are cited from the huge reference list, which I like very much. … At the end of the sections some practical guidelines are given which are very helpful. The monograph is of interest for applied statisticians as well as for research mathematicians. It contains a good overview of tests and methods. It can be recommended for advanced seminars on testing. … I can warmly recommend it.” (Arnold Janssen, Mathematical Reviews, Issue 2010 k)

“This outstanding book is about goodness of fit (GOF) testing … . In addition the book presents some graphical tools for comparing distributions with its focus on graphs that are closely related to statistical tests. … The book contains some theory with numerous examples that are useful for both applied statisticians and nonstatistician practitioners. … In conclusion this book provides considerable information for a wide range of Technometrics readers and it is a valuable contribution to our profession.” (Subir Ghosh, Technometrics, Vol. 53 (1), February, 2011)


Table of contents (12 chapters)

Table of contents (12 chapters)
  • Introduction

    Pages 3-17

    Thas, Olivier

  • Preliminaries (Building Blocks)

    Pages 19-47

    Thas, Olivier

  • Graphical Tools

    Pages 49-75

    Thas, Olivier

  • Smooth Tests

    Pages 77-122

    Thas, Olivier

  • Methods Based on the Empirical Distribution Function

    Pages 123-160

    Thas, Olivier

Buy this book

eBook 117,69 €
price for Spain (gross)
  • ISBN 978-0-387-92710-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 145,59 €
price for Spain (gross)
  • ISBN 978-0-387-92709-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 145,59 €
price for Spain (gross)
  • ISBN 978-1-4614-2449-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Comparing Distributions
Authors
Series Title
Springer Series in Statistics
Copyright
2010
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-92710-7
DOI
10.1007/978-0-387-92710-7
Hardcover ISBN
978-0-387-92709-1
Softcover ISBN
978-1-4614-2449-9
Series ISSN
0172-7397
Edition Number
1
Number of Pages
XVI, 354
Topics