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Focused Information Criterion for Series Estimation in Partially Linear Models

Author

Listed:
  • Naoya Sueishi

    (Kobe University)

  • Arihiro Yoshimura

    (Kyoto Sangyo University)

Abstract

This paper proposes a focused information criterion for variable selection in partially linear models. Our criterion is designed to select an optimal model for estimating a focus parameter, which is a parameter of interest. We estimate the model using the series method and jointly select the variables in the linear part and the series length in the nonparametric part. A Monte Carlo simulation shows that the proposed focused information criterion successfully selects the model that has a relatively small mean squared error of the estimator for the focus parameter.

Suggested Citation

  • Naoya Sueishi & Arihiro Yoshimura, 2017. "Focused Information Criterion for Series Estimation in Partially Linear Models," The Japanese Economic Review, Springer, vol. 68(3), pages 352-363, September.
    • Handle: RePEc:spr:jecrev:v:68:y:2017:i:3:d:10.1111_jere.12139
    DOI: 10.1111/jere.12139
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    References listed on IDEAS

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    1. Claeskens,Gerda & Hjort,Nils Lid, 2008. "Model Selection and Model Averaging," Cambridge Books, Cambridge University Press, number 9780521852258.
    2. Robinson, Peter M, 1988. "Root- N-Consistent Semiparametric Regression," Econometrica, Econometric Society, vol. 56(4), pages 931-954, July.
    3. Liu, Chu-An, 2015. "Distribution theory of the least squares averaging estimator," Journal of Econometrics, Elsevier, vol. 186(1), pages 142-159.
    4. Wolgang Karl Härdle & Li-Shan Huang, 2013. "Analysis of Deviance in Generalized Partial Linear Models," SFB 649 Discussion Papers SFB649DP2013-028, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    5. Zhang, Hao Helen & Cheng, Guang & Liu, Yufeng, 2011. "Linear or Nonlinear? Automatic Structure Discovery for Partially Linear Models," Journal of the American Statistical Association, American Statistical Association, vol. 106(495), pages 1099-1112.
    6. Donald, S. G. & Newey, W. K., 1994. "Series Estimation of Semilinear Models," Journal of Multivariate Analysis, Elsevier, vol. 50(1), pages 30-40, July.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    C14; C52; C53;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods

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