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Robust Statistical Methods with R

✍ Scribed by Jana Jureckova, Jan Picek


Publisher
Chapman and Hall/CRC
Year
2005
Tongue
English
Leaves
217
Edition
1
Category
Library

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✦ Synopsis


Robust statistical methods were developed to supplement the classical procedures when the data violate classical assumptions. They are ideally suited to applied research across a broad spectrum of study, yet most books on the subject are narrowly focused, overly theoretical, or simply outdated. Robust Statistical Methods with R provides a systematic treatment of robust procedures with an emphasis on practical application. The authors work from underlying mathematical tools to implementation, paying special attention to the computational aspects. They cover the whole range of robust methods, including differentiable statistical functions, distance of measures, influence functions, and asymptotic distributions, in a rigorous yet approachable manner. Highlighting hands-on problem solving, many examples and computational algorithms using the R software supplement the discussion. The book examines the characteristics of robustness, estimators of real parameter, large sample properties, and goodness-of-fit tests. It also includes a brief overview of R in an appendix for those with little experience using the software. Based on more than a decade of teaching and research experience, Robust Statistical Methods with R offers a thorough, detailed overview of robust procedures. It is an ideal introduction for those new to the field and a convenient reference for those who apply robust methods in their daily work.

✦ Table of Contents


Contents......Page 6
Preface......Page 10
Authors......Page 12
Introduction......Page 14
CHAPTER 1 Mathematical tools of robustness......Page 18
CHAPTER 2 Basic characteristics of robustness......Page 40
CHAPTER 3 Robust estimators of real parameter......Page 56
CHAPTER 4 Robust estimators in linear model......Page 98
CHAPTER 5 Multivariate location model......Page 142
CHAPTER 6 Some large sample properties of robust procedures......Page 154
CHAPTER 7 Some goodness-of-fit tests......Page 168
APPENDIX A R system......Page 186
References......Page 194
Subject index......Page 204
Author index......Page 208

✦ Subjects


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