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Optimal bandwidth selection for a kernel density with a location-scale property

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  • Celal Aydın
  • Necla Gündüz
  • Jale Balibeyoğlu

Abstract

This paper proposes a novel estimator of the bandwidth in kernel density estimation, built from an adaptive combination of the strengths of classical kernel smoothing and the desirable properties inherent in adjusted kernel smoothing as studied under a variety location and scale family of functions. The optimal bandwidth exists as a function of density functionals derived as the minimizer of the mean square error. We provide a substantial computational assessment of the performance of our proposed estimator on both simulated and real data, and it is very encouraging to notice that our proposed method exhibits a lower variance than its previous counterparts, and also yields an overall smaller mean squared error.

Suggested Citation

  • Celal Aydın & Necla Gündüz & Jale Balibeyoğlu, 2020. "Optimal bandwidth selection for a kernel density with a location-scale property," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(7), pages 1671-1684, August.
    • Handle: RePEc:taf:lstaxx:v:50:y:2020:i:7:p:1671-1684
    DOI: 10.1080/03610926.2020.1804586
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