Distributionally Robust Optimization Under Moment Uncertainty with Application to Data-Driven Problems

No abstract is available for this paper.

• Publication year

  2010

• Venue

  Operational Research

• Publication date

  2010-05-01

• Fields of study

  Mathematics, Computer Science

• Identifiers
  DOI 10.1287/OPRE.1090.0741
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• TRACTABLE ROBUST EXPECTED UTILITY AND RISK MODELS FOR PORTFOLIO OPTIMIZATION

  2010cited by this paper
• Theory and Applications of Robust Optimization

  2010cited by this paper
• Stochastic Programming: Minimax Approach

  2009cited by this paper
• Worst-Case Conditional Value-at-Risk with Application to Robust Portfolio Management

  2009cited by this paper
• Robust Portfolio Selection

  2008influential reference
• A Robust Optimization Perspective on Stochastic Programming

  2007cited by this paper
• A Survey of the S-Lemma

  2007cited by this paper
• Robust Mean-Covariance Solutions for Stochastic Optimization

  2007cited by this paper
• Expected Value of Distribution Information for the Newsvendor Problem

  2006cited by this paper
• Operations Research Proceedings 2005, Selected Papers of the Annual International Conference of the German Operations Research Society (GOR), Bremen, Germany, September 7-9, 2005

  2006cited by this paper
• Worst-case distribution analysis of stochastic programs

  2006cited by this paper
• On Distributionally Robust Chance-Constrained Linear Programs

  2006cited by this paper
• Uncertain convex programs: randomized solutions and confidence levels

  2005cited by this paper
• Optimal Inequalities in Probability Theory: A Convex Optimization Approach

  2005cited by this paper
• Worst-case VaR and CVaR

  2005cited by this paper
• Solving convex programs by random walks

  2004cited by this paper
• On Constraint Sampling in the Linear Programming Approach to Approximate Dynamic Programming

  2004cited by this paper
• Robust Portfolio Selection Problems

  2003cited by this paper
• Estimating the moments of a random vector with applications

  2003cited by this paper
• Distributionally Robust Monte Carlo Simulation: A Tutorial Survey

  2002cited by this paper
• Minimax analysis of stochastic problems

  2002cited by this paper
• ON DUALITY THEORY OF CONIC LINEAR PROBLEMS

  2001cited by this paper
• Semi-infinite programming : recent advances

  2001cited by this paper
• Moment Problems and Semidefinite Optimization

  2000cited by this paper
• Optimization of conditional value-at risk

  2000cited by this paper
• On the Rate of Convergence of Optimal Solutions of Monte Carlo Approximations of Stochastic Programs

  2000cited by this paper
• Moment Problems via Semidefinite Programming: Applications in Probability and Finance

  2000cited by this paper
• Stochastic programming by Monte Carlo simulation methods

  2000influential reference
• A Matlab toolbox for optimization over symmetric cones

  1999cited by this paper
• Probabilistic methods for algorithmic discrete mathematics

  1998cited by this paper
• Robust Convex Optimization

  1998cited by this paper
• Complexity analysis of the analytic center cutting plane method that uses multiple cuts

  1997cited by this paper
• The uniform distribution: A rigorous justification for its use in robustness analysis

  1996cited by this paper
• Stochastic Programming

  1995cited by this paper
• On the computation of weighted analytic centers and dual ellipsoids with the projective algorithm

  1993cited by this paper
• A numerical method for solving stochastic programming problems with moment constraints on a distribution function

  1991cited by this paper
• Stochastric programming with recourse: upper bounds and moment problems: a review

  1988cited by this paper
• Eigenvalues and condition numbers of random matrices

  1988cited by this paper
• Computing Bounds for Stochastic Programming Problems by Means of a Generalized Moment Problem

  1987cited by this paper
• The minimax approach to stochastic programming and an illustrative application

  1987cited by this paper
• Conjugate Duality and Optimization

  1987cited by this paper
• Stochastic Optimization Problems with Incomplete Information on Distribution Functions

  1985cited by this paper
• Introduction To Multivariate Analysis

  1984cited by this paper
• The ellipsoid method and its implications

  1983cited by this paper
• Stochastic Optimization Problems with Partially Known Distribution Functions

  1982cited by this paper
• The ellipsoid method and its consequences in combinatorial optimization

  1981influential reference
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  1981cited by this paper
• Asymptotic expansions for the distributions of the sample roots under nonnormality

  1980cited by this paper
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  1976influential reference
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  1974cited by this paper
• 1. Conjugate Duality and Optimization

  1974cited by this paper
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  1962cited by this paper
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  1960cited by this paper
• Studies in the Mathematical Theory of Inventory and Production, by K.J. Arrow, S. Karlin, H. Scarf with contributions by M.J. Beckmann, J. Gessford, R.F. Muth. Stanford, California, Stanford University Press, 1958, X p.340p., $ 8.75.

  1959cited by this paper
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  1957cited by this paper
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  1894cited by this paper

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