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Estimating prediction error : cross-validation vs. accumulated prediction error

Häggström, Jenny, 1980- (author)
Umeå universitet,Statistiska institutionen
de Luna, Xavier, 1968- (author)
Umeå universitet,Statistiska institutionen
 (creator_code:org_t)
Informa plc. 2010
2010
English.
In: Communications in statistics. Simulation and computation. - : Informa plc.. - 0361-0918 .- 1532-4141. ; 39:5, s. 880-898
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • We study the validation of prediction rules such as regression models and classification algorithms through two out-of-sample strategies, cross-validation and accumulated prediction error. We use the framework of Efron (1983) where measures of prediction errors are defined as sample averages of expected errors and show through exact finite sample calculations that cross-validation and accumulated prediction error yield different smoothing parameter choices in nonparametric regression. The difference in choice does not vanish as sample size increases.

Subject headings

NATURVETENSKAP  -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Probability Theory and Statistics (hsv//eng)

Keyword

Local polynomial regression
Nonparametric regression
Out-of-sample validation
Smoothing parameter
Statistics
Statistik
Statistics
statistik

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