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We revisit Markowitz's mean-variance portfolio selection model by considering a distributionally robust version, where the region of distributional uncertainty is around the empirical measure and the discrepancy between probability measures is dictated by the so-called Wasserstein distance.
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Goh, J. and Sim, M. (2010) Distributionally Robust Optimization and Its Tractable Approximations , Operations Research, 58 , pp. 595-612
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Wisemann, W., Kuhn, D., and Sim, M. (2014) Distributionally Robust Convex Optimization , Operations Research, 62 , pp. 1358-1376
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Goh, J. and Sim, M. (2013) Kullback-Leibler divergence constrained distritbutionally robust optimization , Available at Optimization Online
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2017
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Esfahani, P. and Kuhn, D. (2017) Data-Driven Distributionally Robust Optimization Using the Wasserstein Meric: Performance Guarantees and Tractable Reformulations , https://link.springer.com/article/10.1007/s10107-017-1172-1
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