U-Statistics, Mm-Estimators and Resampling

• Main Authors: Bose, Arup (Author, http://id.loc.gov/vocabulary/relators/aut), Chatterjee, Snigdhansu (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Texts and Readings in Mathematics,
• Subjects: Statistics .; Statistical Theory and Methods.; Statistics and Computing/Statistics Programs.
• Physical Description: XV, 174 p. online resource.
• ISBN: 9789811322488
• ISSN: 2366-8717
• DOI: 10.1007/978-981-13-2248-8

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.