U-statistics, Mm-estimators and Resampling

Bose, Arup

U-statistics, Mm-estimators and Resampling / Arup Bose; & Snigdhansu Chatterjee - New Delhi :Hindustan Book Agency 2018 - xiii,171p. 24cm. - Texts and Reading in Mathematics 75 .

Chapter 1. Introduction to U-statistics --
Chapter 2. M-estimators and U-statistics --
Chapter 3. Introduction to resampling --
Chapter 4. Resampling U-statistics and M-estimators --
Chapter 5. An Introduction to 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.

9789386279712

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Mathematics
Probabilities and applied mathematics
Estimation theory.
Resampling Statistics
Statistical Theory and Methods.

519.5 BOS

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