Robustness to Dependency in Portfolio Optimization Using Overlapping Marginals
Published Online:30 Oct 2015https://doi.org/10.1287/opre.2015.1424
References
- (1990) OR-library: Distributing test problems by electronic mail. J. Oper. Res. Soc. 41(11):1069–1072.Crossref, Google Scholar
- (1983) On the desirability of acyclic database schemes. J. Assoc. Comput. Machinery 30(3): 479–513.Crossref, Google Scholar
- (1976) Graphs and Hypergraphs (North-Holland, Amsterdam).Google Scholar
- (2006) Persistence in discrete optimization under data uncertainty. Math. Programming, Series B 108(2–3): 251–274.Crossref, Google Scholar
- (2009) Mixed-integer programming approaches for index tracking and enhanced indexation. Eur. J. Oper. Res. 196(1): 384–399.Crossref, Google Scholar
- (1968) Approximating discrete probability distributions with dependence trees. IEEE Trans. Inform. Theory 14(3):462–467.Crossref, Google Scholar
- CVX Research Inc (2012) CVX: Matlab software for disciplined convex programming, version 2.0 beta. http://cvxr.com/cvx.Google Scholar
- (2010) Distributionally robust optimization under moment uncertainty with application to data-driven problems. Oper. Res. 58(3):595–612.Link, Google Scholar
- (1999) Stochastic bounds on sums of dependent risks. Insurance: Math. Econom. 25(1):85–104.Crossref, Google Scholar
- (2012) On the complexity of nonoverlapping multivariate marginal bounds for probabilistic combinatorial optimization problems. Oper. Res. 60(1):138–149.Link, Google Scholar
- (2012) PMTK3: Probabilistic modeling toolkit for Matlab/Octave, version 3. https://code.google.com/p/pmtk3/.Google Scholar
- (2003) Worst-case value-at-risk and robust portfolio optimization: A conic programming approach. Oper. Res. 51(4):543–556.Link, Google Scholar
- (2006) Bounds for functions of dependent risks. Finance and Stochastics 10(3):341–352.Crossref, Google Scholar
- (2010) Bounds for the sum of dependent risks having overlapping marginals. J. Multivariate Anal. 101(1):177–190.Crossref, Google Scholar
- (2003) Using copulae to bound the value-at-risk for functions of dependent risks. Finance and Stochastics 7(2):145–167.Crossref, Google Scholar
- (2002) Correlation and dependence in risk management: Properties and pitfalls. Dempster MAH, ed. Risk Management: Value at Risk and Beyond (Cambridge University Press, Cambridge, UK), 176–223.Crossref, Google Scholar
- (1940) Les probabilités associées à un système d’événements compatibles et dépendants. I. Evenements en nombre fini fixe, Actualités Sci. Ind., n. 859 (Hermann et Cie, Paris).Google Scholar
- (1951) Sur les tableaux de corrélation dont les marges sont données. Annales de l’Université de Lyon, Section A, Series 3 14: 53–77.Google Scholar
- (2013) Fama and French data library. Accessed December 2014, http://mba.tuck.dartmouth.edu/pages/faculty/ken.french/data_library.html.Google Scholar
- (2007) Portfolio selection with parameter and model uncertainty: A multi-prior approach. Rev. Financial Stud. 20(7):41–81.Crossref, Google Scholar
- (1980) Testing the universal instance assumption. Inform. Processing Lett. 10(1):14–19.Crossref, Google Scholar
- (1996) Inference in belief networks: A procedural guide. Internat. J. Approximate Reasoning 15(3):225–263.Crossref, Google Scholar
- (1991) Solution of the marginal problem and decomposable distribution. Kybernetika 27(5):403–412.Google Scholar
- (2001) Value at Risk: The New Benchmark for Managing Financial Risk (McGraw-Hill, New York).Google Scholar
- (1964) Verteilungsfunktionen mit gegebenen marginalverteilungen. Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 3(4): 247–270.Crossref, Google Scholar
- (1991) Indecomposable marginal problems. Dall’aglio G, Kotz SI, Salinetti G, eds. Advances in Probability Distributions with Given Marginals, Mathematics and Its Applications, Vol. 67 (Kluwer Academic Publisher, Dordrecht, the Netherlands), 139–149.Crossref, Google Scholar
- (1938) A new measure of rank correlation. Biometrika 30(1–2):81–93.Crossref, Google Scholar
- (2000) Allocating bandwidth for bursty connections. SIAM J. Comput. 30(1):191–217.Crossref, Google Scholar
- (2006) Computing best-possible bounds for the distribution of a sum of several variables is NP-hard. Internat. J. Approximate Reasoning 41(3):331–342.Crossref, Google Scholar
- (2006) Convergent sdp-relaxations in polynomial optimization with sparsity. SIAM J. Optim. 17(3):833–843.Crossref, Google Scholar
- (1984) Decomposable graphs and hypergraphs. J. Australian Math. Soc. 36(1):12–29.Crossref, Google Scholar
- (2011) Conditional value-at-risk in portfolio optimization: Coherent but fragile. Oper. Res. Lett. 39(3):163–171.Crossref, Google Scholar
- (1982) Estimates for the distribution function of the sum of two random variables with given marginal distributions. Theory Probab. Its Appl. 26(4):803–806.Crossref, Google Scholar
- (1952) Portfolio selection. J. Finance 7(1):77–91.Google Scholar
- (1979) Convex majorization with an application to the length of critical path. J. Appl. Probab. 16(3):671–677.Crossref, Google Scholar
- (1980) On estimating the expected return on the market: An exploratory investigation. J. Financial Econom. 8(4):323–361.Crossref, Google Scholar
- (2000) A polynomial approximation algorithm for the minimum fill-in problem. SIAM J. Comput. 30(4):1067–1079.Crossref, Google Scholar
- (2009a) Tractable robust expected utility and risk models for portfolio optimization. Oper. Res. 20(4):695–731.Google Scholar
- (2009b) Peristency model and its applications in choice modeling. Management Sci. 55(3):453–469.Link, Google Scholar
- (2006) Convex approximations of chance constrained programs. SIAM J. Optim. 17(4):969–996.Crossref, Google Scholar
- (2012) Bounds for joint portfolios of dependent risks. Statist. Risk Model. 29(2):107–132.Crossref, Google Scholar
- (2013) Sharp bounds for sums of dependent risks. J. Appl. Probab. 50(1):42–53.Crossref, Google Scholar
- (1989) Mass Transportation Problems, Vol. I–II (Springer, Berlin).Google Scholar
- (2000) Optimization of conditional value-at-risk. J. Risk 2(3):21–41.Crossref, Google Scholar
- (2002) Conditional value-at-risk for general loss distributions. J. Banking Finance 26(7):1443–1471.Crossref, Google Scholar
- (2004) Algorithmic aspects of vertex elimination on graphs. SIAM J. Comput. 5(2):266–283.Crossref, Google Scholar
- (1982) Random variables with maximum sums. Adv. Appl. Probab. 14(3):695–731.Crossref, Google Scholar
- (1991) Bounds for distributions with multivariate marginals. Mosler K, Scarsini M, eds. Stochastic Orders and Decision under Risk, IMS Lecture Notes—Monograph Series 19 (Institute of Mathematical Statistics, Beachwood, OH), 285–310.Crossref, Google Scholar
- (2005) Stochastic ordering of risks, influence of dependence and a.s. constructions. Balakrishnan N, Bairamov IG, Gebizlioglu OL, eds. Advances on Models, Characterizations and Applications (CRC Press, Boca Raton), 19–56.Crossref, Google Scholar
- (1984) Simple linear-time algorithms to test chordality of graph, test acyclicity of hypergraphs, and selectively reduce acyclic hypergraphs. SIAM J. Comput. 13(3):566–579.Crossref, Google Scholar
- (1962) Consistent families of measures and their extensions. Theory Probab. Its Appl. 7(2):147–163.Crossref, Google Scholar
- (2008) Graphical models, exponential families, and variational inference. Foundations Trends Machine Learn. 1(1–2):1–305.Google Scholar
- (2011) The complete mixability and convex minimization problems with monotone marginal densities. J. Multivariate Anal. 102(10):1344–1360.Crossref, Google Scholar
- (2011) Ckmeans.1d.dp: Optimal k-means clustering in one dimension by dynamic programming. The R Journal 3(2):29–33.Crossref, Google Scholar
- (1981) Computing the minimum fill-in is NP-complete. SIAM J. Algebraic and Discrete Methods 2(1):77–79.Crossref, Google Scholar
- (2009) Worst-case conditional value-at-risk with application to robust portfolio management. Oper. Res. 57(5): 1155–1168.Link, Google Scholar
- (2013) Worst-case value at risk of nonlinear portfolios. Management Sci. 59:172–188.Link, Google Scholar

