Open Access

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

EURASIP Journal on Advances in Signal Processing20082008:739082

https://doi.org/10.1155/2008/739082

Received: 21 November 2007

Accepted: 1 May 2008

Published: 12 May 2008

Abstract

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.

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Authors’ Affiliations

(1)
REGIM, Ecole Nationale des Ingénieurs de Sfax, Route de Soukra
(2)
Département Signal et Communications, TELECOM Bretagne, Institut TELECOM, Technopôle Brest-Iroise

Copyright

© 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.