U-Statistics, Mm-Estimators and Resampling

Softcover Nachdruck of the original 1. Auflage 2018
ISBN: 978-981-13-4756-6
Verlag: Springer Nature Singapore

Buch, Englisch, 174 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 300 g

Reihe: Texts and Readings in Mathematics

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 M-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.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Chatterjee, Snigdhansu

Bose, Arup

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen

Inhaltsverzeichnis

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.

Über Autor(innen)

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.