Generalized Gauss inequalities via semidefinite programming

DOI10.1007/s10107-015-0878-1zbMath1351.90125OpenAlexW2033487550MaRDI QIDQ263197

Paul J. Goulart, Daniel Kuhn, Bart P. G. Van Parys

Publication date: 4 April 2016

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: http://www.optimization-online.org/DB_HTML/2014/01/4187.html

zbMATH Keywords

semidefinite programmingprobability boundsmultivariate probability

Mathematics Subject Classification ID

Semidefinite programming (90C22) Stochastic programming (90C15)

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Uses Software

• SDPT3
• YALMIP

Cites Work

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• Solving semidefinite-quadratic-linear programs using SDPT3
• Calculation of multivariate Chebyshev-type inequalities
• Generalized Gauss-Chebyshev inequalities for unimodal distributions
• Distributionally robust joint chance constraints with second-order moment information
• On sharpness of Tchebycheff-type inequalities
• Global Optimization with Polynomials and the Problem of Moments
• Distributionally Robust Stochastic Knapsack Problem
• Distributionally Robust Control of Constrained Stochastic Systems
• VALUE-AT-RISK ESTIMATION FOR DYNAMIC HEDGING
• Distributionally Robust Optimization Under Moment Uncertainty with Application to Data-Driven Problems
• Persistency Model and Its Applications in Choice Modeling
• Moments of non-negative mass
• Generalized Chebyshev Bounds via Semidefinite Programming
• On the Relation Between Option and Stock Prices: A Convex Optimization Approach
• Variational Analysis
• On the Relationship Between Robust Minimum Variance Beamformers With Probabilistic and Worst-Case Distortionless Response Constraints
• Optimization Under Probabilistic Envelope Constraints
• Minimax analysis of stochastic problems
• 10.1162/153244303321897726
• Generalized Chebychev Inequalities: Theory and Applications in Decision Analysis
• Optimal Inequalities in Probability Theory: A Convex Optimization Approach
• A generalized unimodality
• A Semidefinite Programming Approach to Optimal-Moment Bounds for Convex Classes of Distributions
• A Survey of the S-Lemma
• A Generalization of Tshebyshev's Inequality to Two Dimensions
• Lectures on Choquet's theorem