Minimization of the k-th maximum and its application on LMS regression and VaR optimization / X. Huang in Journal of the operational research society (JORS), Vol. 63 N° 11 (Novembre 2012)  

Minimization of the k-th maximum and its application on LMS regression and VaR optimization [texte imprimé] / X. Huang, Auteur ; J. Xu, Auteur ; Wang, S., Auteur . - 2012 . - pp. 1479–1491.
operational research
Langues : Anglais (eng)
in Journal of the operational research society (JORS) > Vol. 63 N° 11 (Novembre 2012) . - pp. 1479–1491

Mots-clés :	piecewise linear optimization  least median of squares  value-at-risk
Index. décimale :	001.424
Résumé :	Motivated by two important problems, the least median of squares (LMS) regression and value-at-risk (VaR) optimization, this paper considers the problem of minimizing the k-th maximum for linear functions. For this study, a sufficient and necessary condition of local optimality is given. From this condition and other properties, we propose an algorithm that uses linear programming technique. The algorithm is assessed on real data sets and the experiments for LMS regression and VaR optimization both show its effectiveness.
DEWEY :	001.424
ISSN :	0160-5682
En ligne :	http://www.palgrave-journals.com/jors/journal/v63/n11/abs/jors2011163a.html