U-Statistics, Mm-Estimators and Resampling

  • Arup Bose
  • Snigdhansu Chatterjee

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


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.


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

  • DOI
  • Copyright Information Springer Nature Singapore Pte Ltd. 2018 and Hindustan Book Agency 2018
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-13-2247-1
  • Online ISBN 978-981-13-2248-8
  • Series Print ISSN 2366-8717
  • Series Online ISSN 2366-8725
  • Buy this book on publisher's site