MISC

2010年6月

Optimal tuning parameter estimation in maximum penalized likelihood method

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS
  • Masao Ueki
  • ,
  • Kaoru Fueda

62
3
開始ページ
413
終了ページ
438
記述言語
英語
掲載種別
DOI
10.1007/s10463-008-0186-0
出版者・発行元
SPRINGER HEIDELBERG

In maximum penalized or regularized methods, it is important to select a tuning parameter appropriately. This paper proposes a direct plug-in method for tuning parameter selection. The tuning parameters selected using a generalized information criterion (Konishi and Kitagawa, Biometrika, 83, 875-890, 1996) and cross-validation (Stone, Journal of the Royal Statistical Society, Series B, 58, 267-288, 1974) are shown to be asymptotically equivalent to those selected using the proposed method, from the perspective of estimation of an optimal tuning parameter. Because of its directness, the proposed method is superior to the two selection methods mentioned above in terms of computational cost. Some numerical examples which contain the penalized spline generalized linear model regressions are provided.

リンク情報
DOI
https://doi.org/10.1007/s10463-008-0186-0
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000276161700001&DestApp=WOS_CPL
ID情報
  • DOI : 10.1007/s10463-008-0186-0
  • ISSN : 0020-3157
  • Web of Science ID : WOS:000276161700001

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