A Distribution-Free Theory of Nonparametric Regression

Harro Walk

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Language: English

Published by Springer Aug 2002, 2002

0387954414 / 9780387954417

Series: Book 121 of 160 - Springer Series in Statistics

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -The regression estimation problem has a long history. Already in 1632 Galileo Galilei used a procedure which can be interpreted as tting a linear relationship to contaminated observed data. Such tting of a line through a cloud of points is the classical linear regression problem. A solution of this problem is provided by the famous principle of least squares, which was discovered independently by A. M. Legendre and C. F. Gauss and published in 1805 and 1809, respectively. The principle of least squares can also be applied to construct nonparametric regression estimates, where one does not restrict the class of possible relationships, and will be one of the approaches studied in this book. Linear regression analysis, based on the concept of a regression function, was introduced by F. Galton in 1889, while a probabilistic approach in the context of multivariate normal distributions was already given by A. B- vais in 1846. The rst nonparametric regression estimate of local averaging type was proposed by J. W. Tukey in 1947. The partitioning regression - timate he introduced, by analogy to the classical partitioning (histogram) density estimate, can be regarded as a special least squares estimate. 672 pp. Englisch.…

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Title
A Distribution-Free Theory of Nonparametric Regression
Author
Harro Walk
Publisher
Springer Aug 2002
Publication year
2002
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0387954414
ISBN 13
9780387954417
Item weight
1,111 grams
Dimensions
241x160x41 mm
Series
Book 121 of 160: Springer Series in Statistics

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

Germany