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Lectures on the nearest neighbor method
~
Biau, Gerard.
Lectures on the nearest neighbor method
Record Type:
Electronic resources : Monograph/item
Title/Author:
Lectures on the nearest neighbor methodby Gerard Biau, Luc Devroye.
Author:
Biau, Gerard.
other author:
Devroye, Luc.
Published:
Cham :Springer International Publishing :2015.
Description:
ix, 290 p. :ill., digital ;24 cm.
Contained By:
Springer eBooks
Subject:
Nearest neighbor analysis (Statistics)
Online resource:
http://dx.doi.org/10.1007/978-3-319-25388-6
ISBN:
9783319253886$q(electronic bk.)
Lectures on the nearest neighbor method
Biau, Gerard.
Lectures on the nearest neighbor method
[electronic resource] /by Gerard Biau, Luc Devroye. - Cham :Springer International Publishing :2015. - ix, 290 p. :ill., digital ;24 cm. - Springer series in the data sciences,2365-5674. - Springer series in the data sciences..
Part I: Density Estimation -- Order Statistics and Nearest Neighbors -- The Expected Nearest Neighbor Distance -- The k-nearest Neighbor Density Estimate -- Uniform Consistency -- Weighted k-nearest neighbor density estimates -- Local Behavior -- Entropy Estimation -- Part II: Regression Estimation -- The Nearest Neighbor Regression Function Estimate -- The 1-nearest Neighbor Regression Function Estimate -- LP-consistency and Stone's Theorem -- Pointwise Consistency -- Uniform Consistency -- Advanced Properties of Uniform Order Statistics -- Rates of Convergence -- Regression: The Noisless Case -- The Choice of a Nearest Neighbor Estimate -- Part III: Supervised Classification -- Basics of Classification -- The 1-nearest Neighbor Classification Rule -- The Nearest Neighbor Classification Rule. Appendix -- Index.
ISBN: 9783319253886$q(electronic bk.)
Standard No.: 10.1007/978-3-319-25388-6doiSubjects--Topical Terms:
732744
Nearest neighbor analysis (Statistics)
LC Class. No.: QA278.2
Dewey Class. No.: 519.2
Lectures on the nearest neighbor method
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by Gerard Biau, Luc Devroye.
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Part I: Density Estimation -- Order Statistics and Nearest Neighbors -- The Expected Nearest Neighbor Distance -- The k-nearest Neighbor Density Estimate -- Uniform Consistency -- Weighted k-nearest neighbor density estimates -- Local Behavior -- Entropy Estimation -- Part II: Regression Estimation -- The Nearest Neighbor Regression Function Estimate -- The 1-nearest Neighbor Regression Function Estimate -- LP-consistency and Stone's Theorem -- Pointwise Consistency -- Uniform Consistency -- Advanced Properties of Uniform Order Statistics -- Rates of Convergence -- Regression: The Noisless Case -- The Choice of a Nearest Neighbor Estimate -- Part III: Supervised Classification -- Basics of Classification -- The 1-nearest Neighbor Classification Rule -- The Nearest Neighbor Classification Rule. Appendix -- Index.
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Mathematics and Statistics (Springer-11649)
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EB QA278.2 B579 2015
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http://dx.doi.org/10.1007/978-3-319-25388-6
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