Ebook: Smooth Tests of Goodness of Fit: Using R, Second Edition

In this fully revised and expanded edition of Smooth Tests of Goodness of Fit, the latest powerful techniques for assessing statistical and probabilistic models using this proven class of procedures are presented in a practical and easily accessible manner. Emphasis is placed on modern developments such as data-driven tests, diagnostic properties, and model selection techniques. Applicable to most statistical distributions, the methodology described in this book is optimal for deriving tests of fit for new distributions and complex probabilistic models, and is a standard against which new procedures should be compared.

New features of the second edition include:

• Expansion of the methodology to cover virtually any statistical distribution, including exponential families
• Discussion and application of data-driven smooth tests
• Techniques for the selection of the best model for the data, with a guide to acceptable alternatives
• Numerous new, revised, and expanded examples, generated using R code

Smooth Tests of Goodness of Fit is an invaluable resource for all methodological researchers as well as graduate students undertaking goodness-of-fit, statistical, and probabilistic model assessment courses. Practitioners wishing to make an informed choice of goodness-of-fit test will also find this book an indispensible guide.

Reviews of the first edition:

"This book gives a very readable account of the smooth tests of goodness of fit. The book can be read by scientists having only an introductory knowledge of statistics. It contains a fairly extensive list of references; research will find it helpful for the further development of smooth tests." --T.K. Chandra, Zentralblatt fur Mathematik und ihre Grenzgebiete, Band 73, 1/92'

"An excellent job of showing how smooth tests (a class of goodness of fit tests) are generally and easily applicable in assessing the validity of models involving statistical distributions....Highly recommended for undergraduate and graduate libraries." --Choice

"The book can be read by scientists having only an introductory knowledge of statistics. It contains a fairly extensive list of references; researchers will find it helpful for the further development of smooth tests."--Mathematical Reviews

"Very rich in examples . . . Should find its way to the desks of many statisticians." --TechnometricsContent:
Chapter 1 Introduction (pages 1–16):
Chapter 2 Pearson's X2 Test (pages 17–32):
Chapter 3 Asymptotically Optimal Tests (pages 33–52):
Chapter 4 Neyman Smooth Tests for Simple Null Hypotheses (pages 53–64):
Chapter 5 Categorized Simple Null Hypotheses (pages 65–94):
Chapter 6 Neyman Smooth Tests for Uncategorized Composite Null Hypotheses (pages 95–135):
Chapter 7 Neyman Smooth Tests for Categorized Composite Null Hypotheses (pages 137–150):
Chapter 8 Neyman Smooth Tests for Uncategorized Composite Null Hypotheses: Discrete Distributions (pages 151–177):
Chapter 9 Construction of Generalized Smooth Tests: Theoretical Contributions (pages 179–198):
Chapter 10 Smooth Modelling (pages 199–219):
Chapter 11 Generalized Smooth Tests for Uncategorized Composite Null Hypotheses (pages 221–242):