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Original Articles

Some remarks on value-at-risk optimization

Pages 111-118 | Received 10 Aug 2006, Accepted 15 Oct 2006, Published online: 16 May 2013

References

  • Dentcheva , D. and Ruszczynski , A. 2003 . Optimization with stochastic dominance constraints . SIAM J. Optim. , 14 : 548 – 566 .
  • Dentcheva , D. and Ruszczynski , A. 2004 . Optimality and duality theory for stochastic optimization problems with nonlinear dominance constraints . Math. Program. , 99 : 329 – 350 .
  • Dentcheva , D. and Ruszczynski , A. 2004 . Semi-Infinite Probabilistic Optimization: First Order Stochastic Dominance Constraints . Optimization , 53 : 583 – 601 .
  • Dentcheva , D. and Ruszczynski , A. 2006 . Portfolio Optimization with Stochastic Dominance Constraints . J. Banking and Finance , 30 ( 2 ) : 433 – 451 .
  • Henrion , R. and Römisch , W. 2004 . Hölder and Lipschitz stability of solution sets in programs with probabilistic constraints . Math. Program. , 100 : 589 – 611 .
  • Henrion , R. and Outrata , J. 2005 . Calmness of constraint systems with applications . Math. Program. , 104 : 437 – 464 .
  • Henrion , R. 2005 . Structural Properties of Linear Probabilistic Constraints , Stochastic Programming EPrint Series (SPEPS), to appear in: Optimization –13
  • Horst , R. and Tuy , H. 1996 . Global Optimization , Berlin : Springer .
  • Kan , Y. 2002 . “ Application of the quantile optimization to bond portfolio selection ” . In Stochastic optimization techniques , Lect. Notes Econ. Math. Syst Edited by: Marti , K. Vol. 513 , 285 – 308 . Berlin : Springer . in:
  • Kataoka , S. 1963 . A Stochastic Programming Model . Econometrica , 31 : 181 – 196 .
  • Lagoa , C.M. , Li , X. and Sznaier , M. 2005 . Probabilistically Constrained Linear Programs and Risk-Adjusted Controller Design . SIAM J. Optim. , 15 : 938 – 951 .
  • Pang , J.S. and Leyffer , S. 2004 . On the Global Minimization of the value-at-risk . Optim. Methods Softw. , 19 : 611 – 631 .
  • Pflug , G. 2000 . “ Some Remarks on the value-at-risk and the Conditional value-at-risk ” . In Probabilistic Constrained Optimization , Edited by: Uryasev , S.P. 272 – 281 . Dordrecht : Kluwer . in:
  • Pflug , G. Stochastic Optimization and Statistical Inference 427 – 482 . in [17], Chapter 7
  • Rockafellar , R.T. and Uryasev , S. 2002 . Conditional value-at-risk for general loss distributions . J. Banking and Finance , 26 : 1443 – 1471 .
  • Römisch , W. Stability of Stochastic Programming Problems 483 – 554 . in [17], Chapter 8
  • Ruszczynski , A. and Shapiro , A. 2003 . Stochastic Programming , Handbooks in Operations Research and Management Science Vol. 10 , Amsterdam : Elsevier .
  • Szegö , G. 2002 . Measures of risk . J. Banking and Finance , 26 : 1253 – 1272 .
  • van de Panne , C. and Popp , W. 1963 . Minimum-Cost Cattle Feed under Probabilistic Protein Constraints . Manag. Sci. , 9 : 405 – 430 .

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