U-Statistics, Mm-Estimators and Resampling
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Description
This is an introductory text on a broad class of statistical estimators that are minimizers of convex functions. It covers the basics of U-statistics and Mm-estimators and develops their asymptotic properties. It also provides an elementary introduction to resampling, particularly in the context of these estimators. The last chapter is on practical implementation of the methods presented in other chapters, using the free software R. Front Matter ....Pages i-xv Introduction to U-statistics (Arup Bose, Snigdhansu Chatterjee)....Pages 1-33 Mm-estimators and U-statistics (Arup Bose, Snigdhansu Chatterjee)....Pages 35-68 Introduction to resampling (Arup Bose, Snigdhansu Chatterjee)....Pages 69-101 Resampling U-statistics and M-estimators (Arup Bose, Snigdhansu Chatterjee)....Pages 103-125 An Introduction to R (Arup Bose, Snigdhansu Chatterjee)....Pages 127-149 Back Matter ....Pages 151-174
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