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Misparametrization subsets for penalized least squares model selection

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  • Xavier Guyon
  • Cécile Hardouin

Abstract

Identifying a model by the penalized contrast procedure, we give an analytical estimation of misfitting subsets in the specific case of a least squares contrast. Then, specifying the statistical model, this allows to determine penalization rates ensuring a consistent identification. Applications are given to time series and geostatistical identification. Copyright Springer Science+Business Media Dordrecht 2014

Suggested Citation

  • Xavier Guyon & Cécile Hardouin, 2014. "Misparametrization subsets for penalized least squares model selection," Statistical Inference for Stochastic Processes, Springer, vol. 17(3), pages 283-294, October.
  • Handle: RePEc:spr:sistpr:v:17:y:2014:i:3:p:283-294
    DOI: 10.1007/s11203-014-9100-y
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    References listed on IDEAS

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    1. Jean-Marc Bardet & Paul Doukhan & José León, 2008. "A functional limit theorem for η-weakly dependent processes and its applications," Statistical Inference for Stochastic Processes, Springer, vol. 11(3), pages 265-280, October.
    2. Doukhan, Paul & Louhichi, Sana, 1999. "A new weak dependence condition and applications to moment inequalities," Stochastic Processes and their Applications, Elsevier, vol. 84(2), pages 313-342, December.
    3. Hirotugu Akaike, 1969. "Fitting autoregressive models for prediction," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 21(1), pages 243-247, December.
    4. Bai, Z. D. & Subramanyam, K. & Zhao, L. C., 1988. "On determination of the order of an autoregressive model," Journal of Multivariate Analysis, Elsevier, vol. 27(1), pages 40-52, October.
    5. Guyon, Xavier & Yao, Jian-feng, 1999. "On the Underfitting and Overfitting Sets of Models Chosen by Order Selection Criteria," Journal of Multivariate Analysis, Elsevier, vol. 70(2), pages 221-249, August.
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