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U-Statistics, Mm-Estimators and Resampling de Arup Bose

U-Statistics, Mm-Estimators and Resampling: Texts and Readings in Mathematics, cartea 75

Autor Arup Bose, Snigdhansu Chatterjee
en Limba Engleză Hardback – 11 sep 2018
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.
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Specificații

ISBN-13: 9789811322471
ISBN-10: 9811322473
Pagini: 171
Ilustrații: XV, 174 p.
Dimensiuni: 155 x 235 mm
Greutate: 0.45 kg
Ediția:1st ed. 2018
Editura: Springer Nature Singapore
Colecția Springer
Seria Texts and Readings in Mathematics

Locul publicării:Singapore, Singapore

Cuprins

​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.

Recenzii

“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)

Notă biografică

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.

Textul de pe ultima copertă

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.

Caracteristici

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