Goodness-of-Fit Tests and Model Validity
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Beschreibung
The 37 expository articles in this volume provide broad coverage of important topics relating to the theory, methods, and applications of goodness-of-fit tests and model validity. The book is divided into eight parts, each of which presents topics written by expert researchers in their areas.
Key features include:
* state-of-the-art exposition of modern model validity methods, graphical techniques, and computer-intensive methods
* systematic presentation with sufficient history and coverage of the fundamentals of the subject
* exposure to recent research and a variety of open problems
* many interesting real-life examples for practitioners
* extensive bibliography, with special emphasis on recent literature
* subject index
This comprehensive reference work will serve the statistical and applied mathematics communities as well as practitioners in the field.
This book thoroughly discusses statistical procedures to evaluate the assumptions of different distributions for the data observed, the validity of models such as linear models, generalized linear models, additive models, etc. and also to consider validity and justification of the use of robust statistical procedures. Professionals and researchers interested in reliability, applied statistics, statistical inference and statistical modeling will find this book an up-to-date reference and resource.
Autor*in
C. Huber-Carol
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"The book contains a great number of the most recent references, is full of new ideas and approaches, original test proposals, graphical representations, examples of real data (mainly from medical science) and useful tables, and it demonstrates clearly how inspiring can the celebrated KP's paper be even after 100 years." —Applications of Mathematics
"This unique and interesting volume of 37 articles, commemorating the centennial anniversary of the landmark paper by Karl Pearson (1900) on chi-square goodness-of-fit tests, presents a broad spectrum of papers.... The background history of Pearson's paper is thoroughly covered as well as the fundamentals of this very important topic. These articles, many of them written by renowned experts in this area, discuss modern model validity methods, graphical techniques, recent research in the area of goodness-of-fit tests, and numerous real-life examples. The volume is divided into eight major areas: history and fundamentals, chi-squared tests, goodness-of-fit for parametric distributions, regression and goodness-of-fit tests, goodness-of-fit tests in survival analysis and reliability, graphical methods and general goodness-of-fit tests, model validity in quality of life, and tests of hypothesis and estimation with applications. Highly recommended for upper-division undergraduates through practitioners." —Choice
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