A Distribution-Free Theory of Nonparametric Regression(Springer Series in Statistics) hardcover XVI, 650 p. 02
Györfi, László,
Kohler, Michael,
Krzyzak, Adam,
Walk, Harro
著
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在庫状況
海外在庫有り
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お届け予定日
1ヶ月
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価格
\60,442（税込）
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発行年月 |
2002年08月 |
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| 出版社／提供元 |
Springer-Verlag New York |
出版国 |
アメリカ合衆国 |
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言語 |
英語 |
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媒体 |
冊子 |
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装丁 |
hardcover |
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ページ数／巻数 |
XVI, 650 p. |
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ジャンル |
洋書／理工学／数学／統計 |
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ISBN |
9780387954417 |
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商品コード |
0200233843 |
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本の性格 |
学術書 |
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新刊案内掲載月 |
2002年08月 |
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| 商品URL | https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0200233843 |
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内容
This book provides a systematic in-depth analysis of nonparametric regression with random design. It covers almost all known estimates such as classical local averaging estimates including kernel, partitioning and nearest neighbor estimates, least squares estimates using splines, neural networks and radial basis function networks, penalized least squares estimates, local polynomial kernel estimates, and orthogonal series estimates. The emphasis is on distribution-free properties of the estimates. Most consistency results are valid for all distributions of the data. Whenever it is not possible to derive distribution-free results, as in the case of the rates of convergence, the emphasis is on results which require as few constrains on distributions as possible, on distribution-free inequalities, and on adaptation. The relevant mathematical theory is systematically developed and requires only a basic knowledge of probability theory. The book will be a valuable reference for anyone interested in nonparametric regression and is a rich source of many useful mathematical techniques widely scattered in the literature. In particular, the book introduces the reader to empirical process theory, martingales and approximation properties of neural networks.
