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Texts and Readings in Mathematics

U-Statistics, Mm-Estimators and Resampling

Authors: Bose, Arup, Chatterjee, Snigdhansu

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  • Introduces a broad class of statistical estimators that are minimizers of convex functions 
  • Covers the three important topics in statistics: U-statistics, Mm-estimates and resampling  
  • Provides an elementary introduction to resampling in the context of these estimators 
  • Presents a quick and short introduction to the statistical software R
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About this Textbook

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.

About the authors

Arup Bose is Professor at the Statistics and Mathematics Unit, Indian Statistical Institute, Kolkata, India. He is a Fellow of the Institute of Mathematical Statistics and of all the three national science academies of India. He has significant research contributions in the areas of statistics, probability, economics and econometrics. He is a recipient of the Shanti Swarup Bhatnagar Prize and the C R Rao National Award in Statistics. His current research interests are in large dimensional random matrices, free probability, high dimensional data, and resampling. He has authored three books: Patterned Random Matrices, Large Covariance Autocovariance Matrices (with Monika Bhattacharjee) and (with Koushik Saha), published by Chapman & Hall.

Snigdhansu Chatterjee is Professor at the School of Statistics, University of Minnesota, USA. He is also the Director of the Institute for Research in Statistics and its Applications. His research interests are in resampling methods, high-dimensional and big data statistical methods, small area methods, and application of statistics in climate science, neuroscience and social sciences. He has written over 45 research articles.

Table of contents (5 chapters)

Table of contents (5 chapters)
  • Introduction to U-statistics

    Pages 1-33

    Bose, Arup (et al.)

  • Mm-estimators and U-statistics

    Pages 35-68

    Bose, Arup (et al.)

  • Introduction to resampling

    Pages 69-101

    Bose, Arup (et al.)

  • Resampling U-statistics and M-estimators

    Pages 103-125

    Bose, Arup (et al.)

  • An Introduction to R

    Pages 127-149

    Bose, Arup (et al.)

Buy this book

eBook n/a
  • ISBN 978-981-13-2248-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-981-13-2247-1
  • Free shipping for individuals worldwide
Softcover n/a
  • ISBN 978-981-13-4756-6
  • Free shipping for individuals worldwide

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Bibliographic Information

Bibliographic Information
Book Title
U-Statistics, Mm-Estimators and Resampling
Authors
Series Title
Texts and Readings in Mathematics
Series Volume
75
Copyright
2018
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd. 2018 and Hindustan Book Agency
eBook ISBN
978-981-13-2248-8
DOI
10.1007/978-981-13-2248-8
Hardcover ISBN
978-981-13-2247-1
Softcover ISBN
978-981-13-4756-6
Series ISSN
2366-8717
Edition Number
1
Number of Pages
XV, 174
Topics