29
Views
6
CrossRef citations to date
0
Altmetric
General Paper

Minimization of the k-th maximum and its application on LMS regression and VaR optimization

, , &
Pages 1479-1491 | Received 01 Feb 2010, Accepted 01 Dec 2011, Published online: 21 Dec 2017

References

  • AgullóJExact algorithms for computing the least median of squares estimate in multiple linear regressionLecture Notes Monograph Series19973113314610.1214/lnms/1215454133
  • AlexanderSColemanTLiYMinimizing CVaR and VaR for a portfolio of derivativesJournal of Banking and Finance200630258360510.1016/j.jbankfin.2005.04.012
  • ArtznerPDelbaenFEberJHeathDThinking coherentlyRisk199710116871
  • ArtznerPDelbaenFEberJHeathDCoherent measure of riskMathematical Finance19999320322810.1111/1467-9965.00068
  • BenatiSRizziRA mixed integer linear programming formulation of the optimal mean/Value-at-Risk portfolio problemEuropean Journal of Operational Research2007176142343410.1016/j.ejor.2005.07.020
  • BočekPLachoutPLinear programming approach to LMS-estimationComputational Statistics & Data Analysis199519212913410.1016/0167-9473(93)E0051-5
  • CamdenMThe Data Bundle1989
  • ChakrabortyBChaudhuriPOn an optimization problem in robust statisticsJournal of Computational and Graphical Statistics200817368370210.1198/106186008X340751
  • DallagnolVAFVan den BergJMousLPortfolio management using value at risk: A comparison between genetic algorithms and particle swarm optimizationInternational Journal of Intelligent Systems200924776679210.1002/int.20360
  • DraperNSmithHApplied Regression Analysis1998
  • DuffieDPanJAn overview of value at riskJournal of Derivatives19974374910.3905/jod.1997.407971
  • GaivoronskiAPflugGValue at risk in portfolio optimization: properties and computational approachJournal of Risk20057213110.21314/JOR.2005.106
  • GilliMKelleziEHysiHA data-driven optimization heuristic for downside risk minimizationJournal of Risk2006831465121110.21314/JOR.2006.129
  • HansenPMladenovićNVariable neighborhood search: Principles and applicationsEuropean Journal of Operational Research2001130344946710.1016/S0377-2217(00)00100-4
  • LarsenNMausserHUryasevSAlgorithms for optimization of value-at-riskFinancial Engineering, e-Commerce and Supply Chain2002129157
  • MansiniROgryczakWSperanzaMConditional value at risk and related linear programming models for portfolio optimizationAnnals of Operations Research2007152122725610.1007/s10479-006-0142-4
  • MladenovićNHansenPVariable neighborhood searchComputer Operations Research199724111097110010.1016/S0305-0548(97)00031-2
  • OlsonCAn approximation algorithm for least median of squares regressionInformation Processing Letters199763523724110.1016/S0020-0190(97)00132-4
  • PangJLeyfferSOn the global minimization of the value-at-riskOptimization Methods and Software200419561163110.1080/10556780410001704911
  • RousseeuwPLeast median of squares regressionJournal of American Statistical Association19847938887188010.1080/01621459.1984.10477105
  • RousseeuwPHubertMRecent developments in PROGRESSLecture Notes Monographic Series19973120121410.1214/lnms/1215454138
  • RousseeuwPLeroyARobust Regression and Outlier Detection, 19871987
  • SteeleJSteigerWAlgorithms and complexity for least median of squares regressionDiscrete Applied Mathematics19861419310010.1016/0166-218X(86)90009-0
  • StrombergAComputing the exact least median of squares estimate and stability diagnostics in multiple linear regressionSIAM Journal on Scientific Computing1993141289129910.1137/0914076
  • SuykensJDe BrabanterJLukasLVandewalleJWeighted least squares support vector machines: robustness and sparse approximationNeurocomputing2002481–48510510.1016/S0925-2312(01)00644-0
  • TichavskyPAlgorithms for and geometrical characterization of solutions in the LMS and the LTS linear regressionComputational Statistics Quarterly19918139151
  • TrafalisTGilbertRRobust classification and regression using support vector machinesEuropean Journal of Operational Research2006173389390910.1016/j.ejor.2005.07.024
  • VerardiVCrouxCRobust regression in StataStata Journal200993439453
  • WinkerPLyraMSharpeCLeast median of squares estimation by optimization heuristics with an application to the CAPM and a multi-factor modelComputational Management Science20118110312310.1007/s10287-009-0103-x
  • XuCNgPA soft approach for hard continuous optimizationEuropean Journal of Operational Research20061731182910.1016/j.ejor.2005.01.004

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.