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Rational (Pade) approximation for estimating the components of the partially-linear regression model

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Date

2021

Author

Dursun, Aydın
Yılmaz, Ersin
Chamidah, Nur

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Citation

Dursun Aydın, Ersin Yılmaz & Nur Chamidah (2021): Rational (Padé) approximation for estimating the components of the partially-linear regression model, Inverse Problems in Science and Engineering, DOI: 10.1080/17415977.2021.1961767

Abstract

This paper proposes a new smoothing technique based on rational function approximation using truncated total least squares (P - TTLS) and compares it with the widely used smoothing spline method, which has become a very powerful smoothing technique in the semiparametric regression setting. Due to the nature of rational approximation, it generates a system of linear equations with multi-collinearities and errors in all its variables. The proposed method is mainly designed to deal with these problems, especially for solving error-contaminated systems and ill-conditioned issues. To indicate the ability of the proposed method, we perform simulation experiments under different conditions and employ a real-world data application. The outcomes from the studies show that the model parameters estimated by P - TTLS have lower variances than benchmarked the smoothing spline (B - SS) technique.

Source

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

URI

https://doi.org/10.1080/17415977.2021.1961767
https://hdl.handle.net/20.500.12809/9486

Collections

  • İstatistik Bölümü Koleksiyonu [95]
  • Scopus İndeksli Yayınlar Koleksiyonu [6219]
  • WoS İndeksli Yayınlar Koleksiyonu [6466]



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