Empirical Processes in M-Estimation

Language: English

Published by Cambridge University Press, GB, 2009

0521123259 / 9780521123259

Series: Book 29 of 64 - Cambridge Series in Statistical and Probabilistic Mathematics

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The theory of empirical processes provides valuable tools for the development of asymptotic theory in (nonparametric) statistical models, and makes possible the unified treatment of a number of them. This book reveals the relation between the asymptotic behaviour of M-estimators and the complexity of parameter space. Virtually all results are proved using only elementary ideas developed within the book; there is minimal recourse to abstract theoretical results. To make the results concrete, a detailed treatment is presented for two important examples of M-estimation, namely maximum likelihood and least squares. The theory also covers estimation methods using penalties and sieves. Many illustrative examples are given, including the Grenander estimator, estimation of functions of bounded variation, smoothing splines, partially linear models, mixture models and image analysis. Graduate students and professionals in statistics as well as those with an interest in applications, to such areas as econometrics, medical statistics, etc., will welcome this treatment.…

Seller Inventory # LU-9780521123259

Title
Empirical Processes in M-Estimation
Author
Sara A. van de Geer
Publisher
Cambridge University Press, GB
Publication year
2009
Condition
New
Binding
Paperback
Language
English
ISBN 10
0521123259
ISBN 13
9780521123259
Edition
Illustrated.
Item weight
530 grams
Dimensions
17.78 x 1.73 x 25.4 cm
Series
Book 29 of 64: Cambridge Series in Statistical and Probabilistic Mathematics

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