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  • Research Article
  • Open Access

Analytical Plug-In Method for Kernel Density Estimator Applied to Genetic Neutrality Study

EURASIP Journal on Advances in Signal Processing20082008:739082

  • Received: 21 November 2007
  • Accepted: 1 May 2008
  • Published:


The plug-in method enables optimization of the bandwidth of the kernel density estimator in order to estimate probability density functions (pdfs). Here, a faster procedure than that of the common plug-in method is proposed. The mean integrated square error (MISE) depends directly upon which is linked to the second-order derivative of the pdf. As we intend to introduce an analytical approximation of , the pdf is estimated only once, at the end of iterations. These two kinds of algorithm are tested on different random variables having distributions known for their difficult estimation. Finally, they are applied to genetic data in order to provide a better characterisation in the mean of neutrality of Tunisian Berber populations.


  • Information Technology
  • Quantum Information
  • Kernel Density
  • Density Estimator
  • Full Article

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Authors’ Affiliations

REGIM, Ecole Nationale des Ingénieurs de Sfax, Route de Soukra, Km 1.5, 3002 Sfax, Tunisia
Département Signal et Communications, TELECOM Bretagne, Institut TELECOM, Technopôle Brest-Iroise, CS 83818, 29283 Brest, Cedex 3, France


© Molka Troudi et al. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.