U-Statistics, Mm-Estimators and Resampling
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Beschreibung
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.
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.
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
Autor*in
Arup Bose
Themen in »U-Statistics, Mm-Estimators and Resampling«
U-statistics Classical bootstrap Multivariate median regression M-estimator Resampling
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“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)
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