Empirical Processes in M-Estimation pdf epub mobi txt 电子书下载 2024

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Sara van de Geer

Cambridge University Press

2009-11-19

300

GBP 35.99

Paperback

Cambridge Series in Statistical and Probabilistic Mathematics

9780521123259

图书标签: 统计数学非参数统计统计学习统计学经济计量学不等式 2016

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发表于2024-12-23

Empirical Processes in M-Estimation epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Empirical Processes in M-Estimation pdf epub mobi txt 电子书下载 2024

图书描述

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.

Empirical Processes in M-Estimation 下载 mobi epub pdf txt 电子书