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Reducing variance in nonparametric surface estimation

✍ Scribed by Ming-Yen Cheng; Peter Hall

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
395 KB
Volume
86
Category
Article
ISSN
0047-259X

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✦ Synopsis

We suggest a method for reducing variance in nonparametric surface estimation. The technique is applicable to a wide range of inferential problems, including both density estimation and regression, and to a wide variety of estimator types. It is based on estimating the contours of a surface by minimising deviations of elementary surface estimates along a quadratic curve. Once a contour estimate has been obtained, the final surface estimate is computed by averaging conventional surface estimates along a portion of the contour. Theoretical and numerical properties of the technique are discussed.

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