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Estimation in semiparametric models with missing data

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  • Chen, Song Xi
  • Van Keilegom, Ingrid

Abstract

This paper considers the problem of parameter estimation in a general class of semiparametric models when observations are subject to missingness at random. The semiparametric models allow for estimating functions that are non-smooth with respect to the parameter. We propose a nonparametric imputation method for the missing values, which then leads to imputed estimating equations for the finite dimensional parameter of interest. The asymptotic normality of the parameter estimator is proved in a general setting, and is investigated in detail for a number of specific semiparametric models. Finally, we study the small sample performance of the proposed estimator via simulations. Copyright The Institute of Statistical Mathematics, Tokyo 2013
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Suggested Citation

  • Chen, Song Xi & Van Keilegom, Ingrid, 2013. "Estimation in semiparametric models with missing data," LIDAM Reprints ISBA 2013024, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    • Handle: RePEc:aiz:louvar:2013024
    Note: In : Annals of the Institute of Statistical Mathematics, vol. 65, no. 4, p. 785-805 (2013)
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    Cited by:

    1. Ana M. Bianco & Graciela Boente & Wenceslao González-Manteiga & Ana Pérez-González, 2019. "Plug-in marginal estimation under a general regression model with missing responses and covariates," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(1), pages 106-146, March.
    2. Lu Wang & Zhongzhe Ouyang & Xihong Lin, 2024. "Doubly Robust Estimation and Semiparametric Efficiency in Generalized Partially Linear Models with Missing Outcomes," Stats, MDPI, vol. 7(3), pages 1-20, August.
    3. Yu Shen & Han-Ying Liang, 2018. "Quantile regression and its empirical likelihood with missing response at random," Statistical Papers, Springer, vol. 59(2), pages 685-707, June.
    4. Rafael Ventura, 2024. "The use of scientific methods and models in the philosophy of science," Scientometrics, Springer;Akadémiai Kiadó, vol. 129(3), pages 1255-1276, March.
    5. M. Hristache & V. Patilea, 2017. "Conditional moment models with data missing at random," Biometrika, Biometrika Trust, vol. 104(3), pages 735-742.

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