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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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eBook 42,79 €
price for Spain (gross)
  • ISBN 978-981-13-2248-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 51,99 €
price for Spain (gross)
Softcover 51,99 €
price for Spain (gross)
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.

Reviews

“The aim of the book under review is to provide statistics graduate students, particularly those who work on nonparametric and semiparametric methods, a concise introduction to the techniques with adequate references for further reading. … the book under review is a good introduction to U-statistics and resampling methods for graduate students.” (Zhongwen Liang, Mathematical Reviews, November, 2019)

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook 42,79 €
price for Spain (gross)
  • ISBN 978-981-13-2248-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 51,99 €
price for Spain (gross)
Softcover 51,99 €
price for Spain (gross)
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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