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U-Statistics, Mm-Estimators and Resampling

  • Arup Bose
  • Snigdhansu Chatterjee
Textbook

Part of the Texts and Readings in Mathematics book series (TRIM)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Arup Bose, Snigdhansu Chatterjee
    Pages 1-33
  3. Arup Bose, Snigdhansu Chatterjee
    Pages 35-68
  4. Arup Bose, Snigdhansu Chatterjee
    Pages 69-101
  5. Arup Bose, Snigdhansu Chatterjee
    Pages 103-125
  6. Arup Bose, Snigdhansu Chatterjee
    Pages 127-149
  7. Back Matter
    Pages 151-174

About this book

Introduction

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.

Keywords

U-statistics Classical bootstrap Multivariate median regression M-estimator Resampling

Authors and affiliations

  • Arup Bose
    • 1
  • Snigdhansu Chatterjee
    • 2
  1. 1.Statistics and Mathematics UnitIndian Statistical InstituteKolkataIndia
  2. 2.School of StatisticsUniversity of MinnesotaMinneapolisUSA

Bibliographic information

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