Book description
ChiSquared 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 chisquared 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 computerintensive methods
 Recent research and a variety of open problems
 Interesting reallife examples for practitioners
Table of contents
 Cover image
 Title page
 Table of Contents
 Copyright
 Dedication
 Preface
 Chapter 1. A Historical Account
 Chapter 2. Pearson’s Sum and PearsonFisher Test

Chapter 3. Wald’s Method and NikulinRaoRobson Test
 3.1 Wald’s method
 3.2 Modifications of NikulinRaoRobson Test
 3.3 Optimality of NikulinRaoRobson Test
 3.4 Decomposition of NikulinRaoRobson Test
 3.5 ChiSquared Tests for Multivariate Normality
 3.6 Modified ChiSquared Tests for The Exponential Distribution
 3.7 Power Generalized Weibull Distribution
 3.8 Modified chiSquared Goodness of Fit Test for Randomly Right Censored Data
 3.9 Testing Normality for Some Classical Data on Physical Constants
 3.10 Tests Based on Data on Stock Returns of Two Kazakhstani Companies
 References

Chapter 4. Wald’s Method and HsuanRobsonMirvaliev Test
 4.1 Wald’s method and momenttype estimators
 4.2 Decomposition of HsuanRobsonMirvaliev test
 4.3 Equivalence of NikulinRaoRobson and HsuanRobsonMirvaliev tests for exponential family
 4.4 Comparisons of some modified chisquared tests
 4.5 NeymanPearson classes
 4.6 Modified chisquared test for threeparameter Weibull distribution
 References
 Chapter 5. Modifications Based on UMVUEs
 Chapter 6. VectorValued Tests
 Chapter 7. Applications of Modified ChiSquared Tests
 Chapter 8. Probability Distributions of Interest

Chapter 9. ChiSquared Tests for Specific Distributions
 9.1 Tests for Poisson, binomial, and “binomial” approximation of Feller’s distribution
 9.2 Elements of matrices K, B, C, and V for the threeparameter Weibull distribution
 9.3 Elements of matrices J and B for the Generalized Power Weibull distribution
 9.4 Elements of matrices J and B for the twoparameter exponential distribution
 9.5 Elements of matrices B, C, K, and V to test the logistic distribution
 9.6 Testing for normality
 9.7 Testing for exponentiality
 9.8 Testing for the logistic
 9.9 Testing for the threeparameter Weibull
 9.10 Testing for the Power Generalized Weibull
 9.11 Testing for twodimensional circular normality
 References
 Bibliography
 Index
Product information
 Title: ChiSquared Goodness of Fit Tests with Applications
 Author(s):
 Release date: January 2013
 Publisher(s): Academic Press
 ISBN: 9780123977830
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