Comparing Distributions

2010
ISBN: 978-1-4614-2449-9
Verlag: Springer

Buch, Englisch, 354 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 569 g

Reihe: Springer Series in Statistics

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 -sample problems, this book presents a more and 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 -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.

Zielgruppe

Research

Autoren/Hrsg.

Thas, Olivier

Fachgebiete

• Mathematik | Informatik EDV | Informatik Daten / Datenbanken Automatische Datenerfassung, Datenanalyse
• Sozialwissenschaften Soziologie | Soziale Arbeit Soziologie Allgemein Empirische Sozialforschung, Statistik
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Datenanalyse, Datenverarbeitung
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik

Inhaltsverzeichnis

One-Sample Problems.- Preliminaries (Building Blocks).- Graphical Tools.- Smooth Tests.- Methods Based on the Empirical Distribution Function.- Two-Sample and K-Sample Problems.- Preliminaries (Building Blocks).- Graphical Tools.- Some Important Two-Sample Tests.- Smooth Tests.- Methods Based on the Empirical Distribution Function.- Two Final Methods and Some Final Thoughts.