Chi-Squared Goodness of Fit Tests with Applications

ISBN-13: 9780123971944 / Angielski / Twarda / 2013 / 256 str.

N Balakrishnan

Opis

Chi-Squared Goodness of Fit Tests with Applications provides a thorough and complete context for the theoretical basis and implementation of Pearson's monumental contribution and its wide applicability for chi-squared goodness of fit tests. The book is ideal for researchers and scientists conducting statistical analysis in processing of experimental data as well as to students and practitioners with a good mathematical background who use statistical methods. The historical context, especially Chapter 7, provides great insight into importance of this subject with an authoritative author team. This reference includes the most recent application developments in using these methods and models.

• Systematic presentation with interesting historical context and coverage of the fundamentals of the subject
• Presents modern model validity methods, graphical techniques, and computer-intensive methods
• Recent research and a variety of open problems
• Interesting real-life examples for practitioners

Recenzje

"The book covers modifications and advances of chi-squared test in cases of various situations. On the whole, the book has a highly mathematical treatment and will be very useful to the researchers working on problems related to chi-squared tests of statistical hypothesis testing." --Zentralblatt MATH, 1276.62027

"The primary purpose of this book is to provide a detailed exploration of the theory, methods, and applications of the chi-squared goodness of fit test first advanced by Karl Pearson over 100 years ago." --Reference and Research BookNews.com, April 2013

Spis treści

Chi-Squared Tests and Modifications: Theory and Applications, Introduction: Historical Notes; Some probability models used in the book, Wald's method and NRR test, Wald's method and HRM test; Modifications based on UMVUEs; Vector-valued tests; Some Applications of Modified Chi-squared Tests; Appendices

O autorze

Narayanaswamy Balakrishnan is a distinguished university professor in the Department of Mathematics and Statistics at McMaster University Hamilton, Ontario, Canada. He is an internationally recognized expert on statistical distribution theory, and a book-powerhouse with over 24 authored books, four authored handbooks, and 30 edited books under his name. He is currently the Editor-in-Chief of Communications in Statistics published by Taylor & Francis. He was also the Editor-in-Chief for the revised version of Encyclopedia of Statistical Sciences published by John Wiley & Sons. He is a Fellow of the American Statistical Association and a Fellow of the Institute of Mathematical Statistics. In 2016, he was awarded an Honorary Doctorate from The National and Kapodistrian University of Athens, Athens, Greece. In 2021, he was elected as a Fellow of the Royal Society of Canada.