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Semi-parametric Efficient Inference for Heteroscedastic Semivarying-coefficient Models

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  • Xuemei Hu

Abstract

Semivarying-coefficient models with heteroscedastic errors are frequently used in statistical modeling. When the error is conditional heteroskedastic, Ahmad, et al. (2005) proposed a general series method to obtain an efficient estimation. In this article we study the heteroscedastic semi-varying coefficient models with a nonparametric variance function, not only use the semi-parametric efficient normal approximation method to derive a family of semi-parametric efficient estimator, but also use the semi-parametric efficient empirical likelihood method to construct the efficient empirical likelihood confidence regions. The proposed estimators retain the double robustness feature of semi-parametric efficient estimator.

Suggested Citation

  • Xuemei Hu, 2014. "Semi-parametric Efficient Inference for Heteroscedastic Semivarying-coefficient Models," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(18), pages 3927-3942, September.
  • Handle: RePEc:taf:lstaxx:v:43:y:2014:i:18:p:3927-3942
    DOI: 10.1080/03610926.2013.837185
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    Cited by:

    1. Hu, Xuemei, 2017. "Semi-parametric inference for semi-varying coefficient panel data model with individual effects," Journal of Multivariate Analysis, Elsevier, vol. 154(C), pages 262-281.

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